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Beliebt Rechnen >

(\partial)/(\partial x)(e^{ysin(x)})

Lösung

\frac{\partial}{\partial x} (e^{y s i n (x)})

Lösung

e^{y s i n (x)} y cos (x)

Schritte zur Lösung

\frac{\partial}{\partial x} (e^{y s i n (x)})

Behandle

y

als Konstante

Wende die Kettenregel an:

e^{y s i n (x)} \frac{\partial}{\partial x} (y sin (x))

= e^{y s i n (x)} \frac{\partial}{\partial x} (y sin (x))

\frac{\partial}{\partial x} (y sin (x)) = y cos (x)

= e^{y s i n (x)} y cos (x)

Beliebte Beispiele

derivative of 4sqrt(9-x)

derivative of (2x/(1+x^2))

derivative of (1+x^{-1}^2)

derivative f(x)=log_{2}(3x)

inverselaplace (s-1)/(s^2(s+3))