{
"query": {
"display": "derivada de $$x\\sqrt{4-x^{2}}$$",
"symbolab_question": "PRE_CALC#derivative x\\sqrt{4-x^{2}}"
},
"solution": {
"level": "PERFORMED",
"subject": "Calculus",
"topic": "Derivatives",
"subTopic": "Derivatives",
"default": "\\frac{-2x^{2}+4}{\\sqrt{4-x^{2}}}",
"meta": {
"showVerify": true
}
},
"steps": {
"type": "interim",
"title": "$$\\frac{d}{dx}\\left(x\\sqrt{4-x^{2}}\\right)=\\frac{-2x^{2}+4}{\\sqrt{4-x^{2}}}$$",
"input": "\\frac{d}{dx}\\left(x\\sqrt{4-x^{2}}\\right)",
"steps": [
{
"type": "step",
"primary": "Aplicar la regla del producto: $$\\left(f{\\cdot}g\\right)'=f'{\\cdot}g+f{\\cdot}g'$$",
"secondary": [
"$$f=x,\\:g=\\sqrt{4-x^{2}}$$"
],
"result": "=\\frac{dx}{dx}\\sqrt{4-x^{2}}+\\frac{d}{dx}\\left(\\sqrt{4-x^{2}}\\right)x",
"meta": {
"practiceLink": "/practice/derivatives-practice#area=main&subtopic=Product%20Rule",
"practiceTopic": "Product Rule"
}
},
{
"type": "interim",
"title": "$$\\frac{dx}{dx}=1$$",
"input": "\\frac{dx}{dx}",
"steps": [
{
"type": "step",
"primary": "Aplicar la regla de derivación: $$\\frac{dx}{dx}=1$$",
"result": "=1"
}
],
"meta": {
"solvingClass": "Derivatives",
"interimType": "Derivatives",
"gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s79Kg+idP5vLVrjUll6eMdYko/29fz701XcRtz4b42RqRjqLYrB3CcI0Y7zGHBJCja+8ZDu8iF4MSewt4yms1lIdz2XHFZ6BxfaHSMA6lT+lbVmoiKRd+ttkZ9NIrGodT+"
}
},
{
"type": "interim",
"title": "$$\\frac{d}{dx}\\left(\\sqrt{4-x^{2}}\\right)=-\\frac{x}{\\sqrt{4-x^{2}}}$$",
"input": "\\frac{d}{dx}\\left(\\sqrt{4-x^{2}}\\right)",
"steps": [
{
"type": "interim",
"title": "Aplicar la regla de la cadena:$${\\quad}\\frac{1}{2\\sqrt{4-x^{2}}}\\frac{d}{dx}\\left(4-x^{2}\\right)$$",
"input": "\\frac{d}{dx}\\left(\\sqrt{4-x^{2}}\\right)",
"result": "=\\frac{1}{2\\sqrt{4-x^{2}}}\\frac{d}{dx}\\left(4-x^{2}\\right)",
"steps": [
{
"type": "step",
"primary": "Aplicar la regla de la cadena: $$\\frac{df\\left(u\\right)}{dx}=\\frac{df}{du}\\cdot\\frac{du}{dx}$$",
"secondary": [
"$$f=\\sqrt{u},\\:\\:u=4-x^{2}$$"
],
"result": "=\\frac{d}{du}\\left(\\sqrt{u}\\right)\\frac{d}{dx}\\left(4-x^{2}\\right)",
"meta": {
"practiceLink": "/practice/derivatives-practice#area=main&subtopic=Chain%20Rule",
"practiceTopic": "Chain Rule"
}
},
{
"type": "interim",
"title": "$$\\frac{d}{du}\\left(\\sqrt{u}\\right)=\\frac{1}{2\\sqrt{u}}$$",
"input": "\\frac{d}{du}\\left(\\sqrt{u}\\right)",
"steps": [
{
"type": "step",
"primary": "Aplicar las leyes de los exponentes: $$\\sqrt{a}=a^{\\frac{1}{2}}$$",
"result": "=\\frac{d}{du}\\left(u^{\\frac{1}{2}}\\right)",
"meta": {
"practiceLink": "/practice/radicals-practice",
"practiceTopic": "Radical Rules"
}
},
{
"type": "step",
"primary": "Aplicar la regla de la potencia: $$\\frac{d}{dx}\\left(x^a\\right)=a{\\cdot}x^{a-1}$$",
"result": "=\\frac{1}{2}u^{\\frac{1}{2}-1}",
"meta": {
"practiceLink": "/practice/derivatives-practice#area=main&subtopic=Power%20Rule",
"practiceTopic": "Power Rule"
}
},
{
"type": "interim",
"title": "Simplificar $$\\frac{1}{2}u^{\\frac{1}{2}-1}:{\\quad}\\frac{1}{2\\sqrt{u}}$$",
"input": "\\frac{1}{2}u^{\\frac{1}{2}-1}",
"result": "=\\frac{1}{2\\sqrt{u}}",
"steps": [
{
"type": "interim",
"title": "$$u^{\\frac{1}{2}-1}=u^{-\\frac{1}{2}}$$",
"input": "u^{\\frac{1}{2}-1}",
"steps": [
{
"type": "interim",
"title": "Simplificar $$\\frac{1}{2}-1\\:$$en una fracción:$${\\quad}-\\frac{1}{2}$$",
"input": "\\frac{1}{2}-1",
"result": "=u^{-\\frac{1}{2}}",
"steps": [
{
"type": "step",
"primary": "Convertir a fracción: $$1=\\frac{1\\cdot\\:2}{2}$$",
"result": "=-\\frac{1\\cdot\\:2}{2}+\\frac{1}{2}"
},
{
"type": "step",
"primary": "Ya que los denominadores son iguales, combinar las fracciones: $$\\frac{a}{c}\\pm\\frac{b}{c}=\\frac{a\\pm\\:b}{c}$$",
"result": "=\\frac{-1\\cdot\\:2+1}{2}"
},
{
"type": "interim",
"title": "$$-1\\cdot\\:2+1=-1$$",
"input": "-1\\cdot\\:2+1",
"steps": [
{
"type": "step",
"primary": "Multiplicar los numeros: $$1\\cdot\\:2=2$$",
"result": "=-2+1"
},
{
"type": "step",
"primary": "Sumar/restar lo siguiente: $$-2+1=-1$$",
"result": "=-1"
}
],
"meta": {
"solvingClass": "Solver",
"interimType": "Solver",
"gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s731snK5z/nd3Sq/6JpCqiX1XTSum/z5kLpMzXS1UJIew02FKSBoQo9V3G05AlnWtTyCE30rzMlUAIVDyhseMBropKGn5MuXZnb2ZCo/hVsBU="
}
},
{
"type": "step",
"result": "=\\frac{-1}{2}"
},
{
"type": "step",
"primary": "Aplicar las propiedades de las fracciones: $$\\frac{-a}{b}=-\\frac{a}{b}$$",
"result": "=-\\frac{1}{2}"
}
],
"meta": {
"interimType": "Algebraic Manipulation Join Concise Title 1Eq"
}
}
],
"meta": {
"solvingClass": "Solver",
"interimType": "Solver",
"gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7VcI2MpaClJgyGWg1EkySKe0se7vRyav6BwUCJZptwG3MwViaLUXkeD+JukROhWdjMvOxDqXzE3/CFO0TFmffHAH2kDe5DGYTz3TrPquGdIhyukSOA/1RgMKO0TMhInPOMabdUggEogUL9RT7PNKh0VQW3Chm7McvYpuS87Y5EFs="
}
},
{
"type": "step",
"result": "=\\frac{1}{2}u^{-\\frac{1}{2}}"
},
{
"type": "step",
"primary": "Aplicar las leyes de los exponentes: $$a^{-b}=\\frac{1}{a^b}$$",
"secondary": [
"$$u^{-\\frac{1}{2}}=\\frac{1}{\\sqrt{u}}$$"
],
"result": "=\\frac{1}{2}\\cdot\\:\\frac{1}{\\sqrt{u}}",
"meta": {
"practiceLink": "/practice/exponent-practice",
"practiceTopic": "Expand FOIL"
}
},
{
"type": "step",
"primary": "Multiplicar fracciones: $$\\frac{a}{b}\\cdot\\frac{c}{d}=\\frac{a\\:\\cdot\\:c}{b\\:\\cdot\\:d}$$",
"result": "=\\frac{1\\cdot\\:1}{2\\sqrt{u}}"
},
{
"type": "step",
"primary": "Multiplicar los numeros: $$1\\cdot\\:1=1$$",
"result": "=\\frac{1}{2\\sqrt{u}}"
}
],
"meta": {
"solvingClass": "Solver",
"interimType": "Generic Simplify Specific 1Eq",
"gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7JOPQ2g2GS9EQptV8nckZSrH6E/qPf7AlxQDX8MXU5OsAlilG71elit3w1IBbYN0P8rEus7TgCihQBF5omOFkJv2RkT96g5Q5jVbn5fyeQzwB9pA3uQxmE8906z6rhnSIHimBRYRqHSWeJkuUPhfTC0fckB6tn+Lslm20bk1NfC+RFXBEVoMC309dBjB0EbJM4Es6agjDQJIYZAr5O37aAQ=="
}
}
],
"meta": {
"solvingClass": "Derivatives",
"interimType": "Derivatives"
}
},
{
"type": "step",
"result": "=\\frac{1}{2\\sqrt{u}}\\frac{d}{dx}\\left(4-x^{2}\\right)"
},
{
"type": "step",
"primary": "Sustituir en la ecuación $$u=4-x^{2}$$",
"result": "=\\frac{1}{2\\sqrt{4-x^{2}}}\\frac{d}{dx}\\left(4-x^{2}\\right)"
}
],
"meta": {
"interimType": "Derivative Chain Rule 0Eq",
"gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s79Kg+idP5vLVrjUll6eMdYqws7SQcG//90aDq2y0nVyst9MMddrkFuNTLaPWMeYe3Z3GoG6Ko8jDPh4vymhs0+tlv8YVMwh/df5SMAfAmpJXv++bSprT8DRLjDQza+XRVK8bX5dVPv1mw7bndgYyo4aKwxODUNSw+sWQrjsE7uIE5Nrp7QlQvtOoqamnUHSv5RSpN33oxZMojoqvYhvSJANJ77zFVgozt2myZ932vHaY8M3qPbRt2Bhfd2B52Djj+79Tf85JKR+wURjZIcdFtqg=="
}
},
{
"type": "interim",
"title": "$$\\frac{d}{dx}\\left(4-x^{2}\\right)=-2x$$",
"input": "\\frac{d}{dx}\\left(4-x^{2}\\right)",
"steps": [
{
"type": "step",
"primary": "Aplicar la regla de la suma/diferencia: $$\\left(f{\\pm}g\\right)'=f'{\\pm}g'$$",
"result": "=\\frac{d}{dx}\\left(4\\right)-\\frac{d}{dx}\\left(x^{2}\\right)"
},
{
"type": "interim",
"title": "$$\\frac{d}{dx}\\left(4\\right)=0$$",
"input": "\\frac{d}{dx}\\left(4\\right)",
"steps": [
{
"type": "step",
"primary": "Derivada de una constante: $$\\frac{d}{dx}\\left({a}\\right)=0$$",
"result": "=0"
}
],
"meta": {
"solvingClass": "Derivatives",
"interimType": "Derivatives",
"gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s79Kg+idP5vLVrjUll6eMdYjVwwDW+HeFUFiKZ8J+l8XpJ8Vk6wvKjVnTtwWT18bQnz7FeFrf3rcM8IZlDz2c0dm5O2bEw0Ql6ne7k1AUriTt4/nDM7CraQVY2V0O4nKcI"
}
},
{
"type": "interim",
"title": "$$\\frac{d}{dx}\\left(x^{2}\\right)=2x$$",
"input": "\\frac{d}{dx}\\left(x^{2}\\right)",
"steps": [
{
"type": "step",
"primary": "Aplicar la regla de la potencia: $$\\frac{d}{dx}\\left(x^a\\right)=a{\\cdot}x^{a-1}$$",
"result": "=2x^{2-1}",
"meta": {
"practiceLink": "/practice/derivatives-practice#area=main&subtopic=Power%20Rule",
"practiceTopic": "Power Rule"
}
},
{
"type": "step",
"primary": "Simplificar",
"result": "=2x",
"meta": {
"solvingClass": "Solver"
}
}
],
"meta": {
"solvingClass": "Derivatives",
"interimType": "Derivatives",
"gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s79Kg+idP5vLVrjUll6eMdYkmb3s5xAUYje7fZWSRkdb2k3hxk9aCfAWodBRxXgUexcQsmN/cITrVSOMImEqe3fkeCBKuYKgaNJ253gLI69U7cjrVUqImvoUuRtb+2ccCzWsr9JoDNJaP7hueshcYJ6w=="
}
},
{
"type": "step",
"result": "=0-2x"
},
{
"type": "step",
"primary": "Simplificar",
"result": "=-2x",
"meta": {
"solvingClass": "Solver"
}
}
],
"meta": {
"solvingClass": "Derivatives",
"interimType": "Derivatives"
}
},
{
"type": "step",
"result": "=\\frac{1}{2\\sqrt{4-x^{2}}}\\left(-2x\\right)"
},
{
"type": "interim",
"title": "Simplificar $$\\frac{1}{2\\sqrt{4-x^{2}}}\\left(-2x\\right):{\\quad}-\\frac{x}{\\sqrt{4-x^{2}}}$$",
"input": "\\frac{1}{2\\sqrt{4-x^{2}}}\\left(-2x\\right)",
"result": "=-\\frac{x}{\\sqrt{4-x^{2}}}",
"steps": [
{
"type": "step",
"primary": "Quitar los parentesis: $$\\left(-a\\right)=-a$$",
"result": "=-\\frac{1}{2\\sqrt{4-x^{2}}}\\cdot\\:2x"
},
{
"type": "step",
"primary": "Multiplicar fracciones: $$a\\cdot\\frac{b}{c}=\\frac{a\\:\\cdot\\:b}{c}$$",
"result": "=-\\frac{1\\cdot\\:2x}{2\\sqrt{4-x^{2}}}"
},
{
"type": "step",
"primary": "Eliminar los terminos comunes: $$2$$",
"result": "=-\\frac{1\\cdot\\:x}{\\sqrt{4-x^{2}}}"
},
{
"type": "step",
"primary": "Multiplicar: $$1\\cdot\\:x=x$$",
"result": "=-\\frac{x}{\\sqrt{-x^{2}+4}}"
}
],
"meta": {
"solvingClass": "Solver",
"interimType": "Generic Simplify Specific 1Eq",
"gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7WW9Djej2t2V9XX+YqO13C05eUZ+miyV2wo6fK1k/Zk6O6Dd3zpuSnKXNDXc0BYg4ebTKSUwQXHFFpEsrzHtUqUlp37JZxv9+CIGyLDYI+uDk5PyMmrrndFr6EuaTQELKgQUxJPyUNnGfVirkcwpVO4DWU6bOJf1kDNjB36N9KhyY2KuYTFWgaIvKFCH8XXOk9dOCBrKP/hY2VXiQndH6n+IASZeFjDtawNGt9P21GJY="
}
}
],
"meta": {
"solvingClass": "Derivatives",
"interimType": "Derivatives"
}
},
{
"type": "step",
"result": "=1\\cdot\\:\\sqrt{4-x^{2}}+\\left(-\\frac{x}{\\sqrt{4-x^{2}}}\\right)x"
},
{
"type": "interim",
"title": "Simplificar $$1\\cdot\\:\\sqrt{4-x^{2}}+\\left(-\\frac{x}{\\sqrt{4-x^{2}}}\\right)x:{\\quad}\\frac{-2x^{2}+4}{\\sqrt{4-x^{2}}}$$",
"input": "1\\cdot\\:\\sqrt{4-x^{2}}+\\left(-\\frac{x}{\\sqrt{4-x^{2}}}\\right)x",
"result": "=\\frac{-2x^{2}+4}{\\sqrt{4-x^{2}}}",
"steps": [
{
"type": "step",
"primary": "Quitar los parentesis: $$\\left(-a\\right)=-a$$",
"result": "=1\\cdot\\:\\sqrt{4-x^{2}}-\\frac{x}{\\sqrt{4-x^{2}}}x"
},
{
"type": "interim",
"title": "$$1\\cdot\\:\\sqrt{4-x^{2}}=\\sqrt{4-x^{2}}$$",
"input": "1\\cdot\\:\\sqrt{4-x^{2}}",
"steps": [
{
"type": "step",
"primary": "Multiplicar: $$1\\cdot\\:\\sqrt{4-x^{2}}=\\sqrt{4-x^{2}}$$",
"result": "=\\sqrt{4-x^{2}}"
}
],
"meta": {
"solvingClass": "Solver",
"interimType": "Solver",
"gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7UHFhuJ6yJNDOcGH7Fz25/+bQ8eq9KPndPsh+cpcAozgDnzlbPZjyKgy1eUCFsLd5FoA/NZPhsKr7yKCV92V7VKBtZyu+LaYvasa3tFjSwOE5S/rzXhIImTcNKflhJ16Ki9jSJ04Wg+AegNbFs57a0rcwG4qVJJt4DwPN4pwAaPo="
}
},
{
"type": "interim",
"title": "$$\\frac{x}{\\sqrt{4-x^{2}}}x=\\frac{x^{2}}{\\sqrt{4-x^{2}}}$$",
"input": "\\frac{x}{\\sqrt{4-x^{2}}}x",
"steps": [
{
"type": "step",
"primary": "Multiplicar fracciones: $$a\\cdot\\frac{b}{c}=\\frac{a\\:\\cdot\\:b}{c}$$",
"result": "=\\frac{xx}{\\sqrt{4-x^{2}}}"
},
{
"type": "interim",
"title": "$$xx=x^{2}$$",
"input": "xx",
"steps": [
{
"type": "step",
"primary": "Aplicar las leyes de los exponentes: $$a^b\\cdot\\:a^c=a^{b+c}$$",
"secondary": [
"$$xx=\\:x^{1+1}$$"
],
"result": "=x^{1+1}",
"meta": {
"practiceLink": "/practice/exponent-practice",
"practiceTopic": "Expand FOIL"
}
},
{
"type": "step",
"primary": "Sumar: $$1+1=2$$",
"result": "=x^{2}"
}
],
"meta": {
"solvingClass": "Solver",
"interimType": "Solver",
"gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s74tglIeOAQqOR+OcPiyzQUczBWJotReR4P4m6RE6FZ2M7Aq6fHyeqJtW5OKbXVcT+IBF/biSmVq3Z2pV/8nBrAiS3daIZHtloJpe/PvtsyNI="
}
},
{
"type": "step",
"result": "=\\frac{x^{2}}{\\sqrt{4-x^{2}}}"
}
],
"meta": {
"solvingClass": "Solver",
"interimType": "Solver",
"gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s73Y7dsHR5Q/6nneLHJZRjGZ2OT8eCwMwHqi5FHuTWe8vehkKrn0era9rz8TlL+x/vBVZ9vx5jzfo/n1rSDQAgprPMEHM/mmc4OdEqEQA2YbJTENVM5lrkpLfucRPZru95mJW+vqX35fV9zI/bFAf9gAKWVz0ENdilMvqJ8y7Vc/bnHaVVCnUhcvup9B6HTXulApZXPQQ12KUy+onzLtVz9hZFQ8OchBdgxMOJrEMyk3s="
}
},
{
"type": "step",
"result": "=\\sqrt{-x^{2}+4}-\\frac{x^{2}}{\\sqrt{-x^{2}+4}}"
},
{
"type": "step",
"primary": "Convertir a fracción: $$\\sqrt{-x^{2}+4}=\\frac{\\sqrt{4-x^{2}}\\sqrt{4-x^{2}}}{\\sqrt{4-x^{2}}}$$",
"result": "=-\\frac{x^{2}}{\\sqrt{4-x^{2}}}+\\frac{\\sqrt{4-x^{2}}\\sqrt{4-x^{2}}}{\\sqrt{4-x^{2}}}"
},
{
"type": "step",
"primary": "Ya que los denominadores son iguales, combinar las fracciones: $$\\frac{a}{c}\\pm\\frac{b}{c}=\\frac{a\\pm\\:b}{c}$$",
"result": "=\\frac{-x^{2}+\\sqrt{4-x^{2}}\\sqrt{4-x^{2}}}{\\sqrt{4-x^{2}}}"
},
{
"type": "interim",
"title": "$$-x^{2}+\\sqrt{4-x^{2}}\\sqrt{4-x^{2}}=-2x^{2}+4$$",
"input": "-x^{2}+\\sqrt{4-x^{2}}\\sqrt{4-x^{2}}",
"steps": [
{
"type": "step",
"primary": "Aplicar las leyes de los exponentes: $$\\sqrt{a}\\sqrt{a}=a$$",
"secondary": [
"$$\\sqrt{-x^{2}+4}\\sqrt{-x^{2}+4}=4-x^{2}$$"
],
"result": "=-x^{2}+4-x^{2}",
"meta": {
"practiceLink": "/practice/radicals-practice",
"practiceTopic": "Radical Rules"
}
},
{
"type": "step",
"primary": "Agrupar términos semejantes",
"result": "=-x^{2}-x^{2}+4"
},
{
"type": "step",
"primary": "Sumar elementos similares: $$-x^{2}-x^{2}=-2x^{2}$$",
"result": "=-2x^{2}+4"
}
],
"meta": {
"solvingClass": "Solver",
"interimType": "Solver",
"gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7jaxItqg/p85u4UD5o36ZlCgh+5qTaXZJcH7xpUJp/Uob0QnaQXeEGehdJB+LYyEKCUCWbkwGOY7PqKo3U/JLJaSePBlrMSalya/cb6+i9nV8PILidLzxItlzEwp/VwP73VaLVwqT5GHTOa2VgvEsA1hrrK9mUbBIbL7c4y4Kk5heZuk4A0LKlR1fHxRTdzqY"
}
},
{
"type": "step",
"result": "=\\frac{-2x^{2}+4}{\\sqrt{4-x^{2}}}"
}
],
"meta": {
"solvingClass": "Solver",
"interimType": "Generic Simplify Specific 1Eq",
"gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7UHFhuJ6yJNDOcGH7Fz25/0LMmTq5Kv5XdxPzQ7kQWVs0qkEp2JxW0AnDoDp9iR0M3da3b9zhsFMhk04lIzK4SXWD310L1+P2yDQQfMEhENFy81jD1KXXftuJY668njgtdXOcpvTQWsvsfZ1iYKPP8umIuOEdZZHc3tYsORarla9N5Aod6Hr1Lp2e/29KhSgU4B8pwMJ96BND7tT5VRCYJBGly56NFXXshaZvAmAYBdtAE87xjAR3QcnJztTQT24W7LH0A7WZfDlyjdTEyiEO+q/kFmfrA/H8hCThX0HWQg0="
}
}
],
"meta": {
"solvingClass": "Derivatives",
"practiceLink": "/practice/derivatives-practice",
"practiceTopic": "Derivatives"
}
},
"plot_output": {
"meta": {
"plotInfo": {
"variable": "x",
"plotRequest": "y=\\frac{-2x^{2}+4}{\\sqrt{4-x^{2}}}"
},
"showViewLarger": true
}
},
"meta": {
"showVerify": true
}
}
Solución
derivada de
Solución
Pasos de solución
Aplicar la regla del producto:
Simplificar