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人気のある微分積分 >

(\partial)/(\partial L)(L^{1/4})

解

\frac{\partial}{\partial L} (L^{\frac{1}{4}})

解

\frac{1}{4 L ^{\frac{3}{4}}}

解答ステップ

\frac{\partial}{\partial L} (L^{\frac{1}{4}})

乗の法則を適用:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{1}{4} L^{\frac{1}{4} - 1}

簡素化

\frac{1}{4} L^{\frac{1}{4} - 1} : \frac{1}{4 L ^{\frac{3}{4}}}

= \frac{1}{4 L ^{\frac{3}{4}}}

人気の例

integral of (2-8x)/(sqrt(81-4x^2))

\int \frac{2 - 8 x}{81 - 4 x ^{2}} d x

(dx)/(dt)=c_{1}x-c_{2}x^2

\frac{d x}{d t} = c_{1} x - c_{2} x^{2}

integral from-1 to 2 of 3/(x^2)

\int_{- 1}^{2} \frac{3}{x ^{2}} d x

sum from n=0 to infinity of 5^n

n = 0 \sum \infty 5^{n}

(arctan (y))^{^{'}}