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Beliebt Rechnen >

(\partial)/(\partial y)(cos(y)e^x+2/x)

Lösung

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

Lösung

- e^{x} sin (y)

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial y} (\frac{2}{x}) = 0

= - e^{x} sin (y) + 0

Vereinfache

= - e^{x} sin (y)

Beliebte Beispiele

derivative x^2(x^3-1)

d er i v a t i v e x^{2} (x^{3} - 1)

limit as x approaches 0 of (b-c)/(x^a)

x \to 0 lim (\frac{b - c}{x ^{a}})

derivative sqrt(4+\sqrt{6x)}

d er i v a t i v e 4 + 6 x

derivative y=4\sqrt[5]{x}

d er i v a t i v e y = 4 5 x

derivative sqrt(9)

d er i v a t i v e 9