(\partial)/(\partial x)(e^{x^2y^3})

Lösung

\frac{\partial}{\partial x} (e^{x^{2} y^{3}})

e^{x^{2} y^{3}} \cdot 2 y^{3} x

Schritte zur Lösung

\frac{\partial}{\partial x} (e^{x^{2} y^{3}})

Behandle

y

als Konstante

Wende die Kettenregel an:

e^{x^{2} y^{3}} \frac{\partial}{\partial x} (x^{2} y^{3})

= e^{x^{2} y^{3}} \frac{\partial}{\partial x} (x^{2} y^{3})

\frac{\partial}{\partial x} (x^{2} y^{3}) = 2 y^{3} x

= e^{x^{2} y^{3}} \cdot 2 y^{3} x

\frac{d}{d x} (12 e^{2} x)

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

\frac{\partial}{\partial x} (\frac{x ^{3} y ^{3}}{3})

\frac{\partial}{\partial x} (\frac{g ( x )}{x} - \frac{h ( x )}{x})

\int sec^{7} (x) tan (x) d x