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Beliebt Rechnen >

derivative of e^x+cos(x)

Lösung

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

Lösung

e^{x} - sin (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= e^{x} - sin (x)

Graph

Beliebte Beispiele

derivative of 10log_{10}(100x)

\frac{d}{d x} (10 lo g_{10} (100 x))

derivative of cos(2x^2-3)

\frac{d}{d x} (cos (2 x^{2} - 3))

derivative f(x)=(x^2)/(2+x)

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

fläche x^2-2x,x+4

a re a x^{2} - 2 x, x + 4

fläche y=x^2-1,y=-x^2+1

a re a y = x^{2} - 1, y = - x^{2} + 1