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Beliebt Rechnen >

(\partial)/(\partial y)(e^{xsin(y)})

Lösung

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

Lösung

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

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Kettenregel an:

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

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

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

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

Beliebte Beispiele

derivative arcsin(-1/2)

d er i v a t i v e arcsin (- \frac{1}{2})

integral of (x^2)^{22}x^2)^2

\int (x^{2})^{22} d (x^{2})^{2}

derivative of tan^{x^2}(x)

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

laplacetransform (e^t)/(sqrt(t))

l a pl a ce t r an s f or m \frac{e ^{t}}{t}

integral of xcos((mpix)/2)

\int x cos (\frac{mπ x}{2}) d x