(\partial)/(\partial z)(x^2e^{yz^2})

Lösung

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

x^{2} e^{y z^{2}} \cdot 2 yz

Schritte zur Lösung

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

Behandle

x, y

als Konstanten

Entferne die Konstante:

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

= x^{2} \frac{\partial}{\partial z} (e^{y z^{2}})

Wende die Kettenregel an:

e^{y z^{2}} \frac{\partial}{\partial z} (y z^{2})

= e^{y z^{2}} \frac{\partial}{\partial z} (y z^{2})

\frac{\partial}{\partial z} (y z^{2}) = 2 yz

= x^{2} e^{y z^{2}} \cdot 2 yz

\frac{d x}{d y} = 70 - 4 x

\int_{3}^{\infty} e^{- 7 x} d x

d er i v a t i v e y = - 6 x + k

\int_{0}^{1} 1 (x^{2} + 1) e^{- x} d x

s im pl i f y \frac{5}{x ^{5}} + \frac{3}{x ^{2}}