de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

d/(d{z)}({x}{y}e^{({x}^2+{z}^2-5)})

Lösung

\frac{d}{d z} (x y e^{(x^{2} + z^{2} - 5)})

Lösung

x y e^{x^{2} + z^{2} - 5} \cdot 2 z

Schritte zur Lösung

\frac{d}{d z} (x y e^{(x^{2} + z^{2} - 5)})

Entferne die Konstante:

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

= x y \frac{d}{d z} (e^{x^{2} + z^{2} - 5})

Wende die Kettenregel an:

e^{x^{2} + z^{2} - 5} \frac{d}{d z} (x^{2} + z^{2} - 5)

= e^{x^{2} + z^{2} - 5} \frac{d}{d z} (x^{2} + z^{2} - 5)

\frac{d}{d z} (x^{2} + z^{2} - 5) = 2 z

= x y e^{x^{2} + z^{2} - 5} \cdot 2 z

Beliebte Beispiele

derivative 3-sqrt(x)

d er i v a t i v e 3 - x

derivative y=x^{8cos(x)}

d er i v a t i v e y = x^{8 c o s (x)}

(\partial)/(\partial x)(5xye^{-x^2y})

\frac{\partial}{\partial x} (5 x y e^{- x^{2} y})

limit as x approaches infinity of (0)^x

x \to \infty lim ((0)^{x})

derivative of (2/(x^3)^2)

\frac{d}{d x} ((\frac{2}{x ^{3}})^{2})