de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(\partial)/(\partial x)(1/2 (x^2+4y^2))

Lösung

\frac{\partial}{\partial x} (\frac{1}{2} (x^{2} + 4 y^{2}))

Lösung

x

Schritte zur Lösung

\frac{\partial}{\partial x} (\frac{1}{2} (x^{2} + 4 y^{2}))

Behandle

y

als Konstante

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{2} \frac{\partial}{\partial x} (x^{2} + 4 y^{2})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{1}{2} (\frac{\partial}{\partial x} (x^{2}) + \frac{\partial}{\partial x} (4 y^{2}))

\frac{\partial}{\partial x} (x^{2}) = 2 x

\frac{\partial}{\partial x} (4 y^{2}) = 0

= \frac{1}{2} (2 x + 0)

Vereinfache

\frac{1}{2} (2 x + 0) : x

= x

Beliebte Beispiele

(\partial)/(\partial x)(1/(sqrt(2x)))

\frac{\partial}{\partial x} (\frac{1}{2 x})

2xy(dy)/(dx)=y^2-x^2+1

2 x y \frac{d y}{d x} = y^{2} - x^{2} + 1

tangent 100x^2+400x+5000,0.5

t an g e n t 100 x^{2} + 400 x + 5000, 0.5

integral of e^{y(1-x)}

\int e^{y (1 - x)} d x

derivative of y=7x^2cos(x)cot(x)

\frac{d}{d x} y = 7 x^{2} cos (x) cot (x)