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Beliebt Rechnen >

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

Lösung

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

Lösung

e^{x} + cos (y)

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= e^{x} + cos (y)

Beliebte Beispiele

integral of (x^2-1)/(e^{x/2)}

\int \frac{x ^{2} - 1}{e ^{\frac{x}{2}}} d x

derivative of 3^{x-inx}

\frac{d}{d x} (3^{x - in x})

integral of (x^2)/(49+x^2)

\int \frac{x ^{2}}{49 + x ^{2}} d x

limit as x approaches 0 of 2x

x \to 0 lim (2 x)

derivative 1000e^{-0.02p}

d er i v a t i v e 1000 e^{- 0.02 p}