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Beliebt Rechnen >

derivative of e^xsin(x+cos(x))

Lösung

\frac{d}{d x} (e^{x} sin (x) + cos (x))

Lösung

e^{x} sin (x) + cos (x) e^{x} - sin (x)

Schritte zur Lösung

\frac{d}{d x} (e^{x} sin (x) + cos (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (e^{x} sin (x)) + \frac{d}{d x} (cos (x))

\frac{d}{d x} (e^{x} sin (x)) = e^{x} sin (x) + cos (x) e^{x}

\frac{d}{d x} (cos (x)) = - sin (x)

= e^{x} sin (x) + cos (x) e^{x} - sin (x)

Graph

Beliebte Beispiele

limit as x approaches-5 of (5+x)^2-25

x \to - 5 lim ((5 + x)^{2} - 25)

derivative cos(4-9x^2)

d er i v a t i v e cos (4 - 9 x^{2})

derivative of (2x+5/(x^2-1))

\frac{d}{d x} (\frac{2 x + 5}{x ^{2} - 1})

derivative f(x)=2x^3+1

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

tangent f(x)=-3x^4

t an g e n t f (x) = - 3 x^{4}