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Beliebt Rechnen >

(\partial)/(\partial y)(e^x+xcos(y))

Lösung

\frac{\partial}{\partial y} (e^{x} + x cos (y))

Lösung

- x sin (y)

Schritte zur Lösung

\frac{\partial}{\partial y} (e^{x} + x cos (y))

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial y} (e^{x}) + \frac{\partial}{\partial y} (x cos (y))

\frac{\partial}{\partial y} (e^{x}) = 0

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

= 0 - x sin (y)

Vereinfache

= - x sin (y)

Beliebte Beispiele

25 y^{^{''}} - 4 y = 0

derivative e^{3k}

d er i v a t i v e e^{3 k}

derivative of (3x^4+4x^2(5x+8)^4)

\frac{d}{d x} ((3 x^{4} + 4 x)^{2} (5 x + 8)^{4})

limit as t approaches 0 of (e^{6t}-1)/t

t \to 0 lim (\frac{e ^{6 t} - 1}{t})

derivative y=-4e^{-4x}

d er i v a t i v e y = - 4 e^{- 4 x}