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Beliebt Rechnen >

derivative of 5sin(x+2cos(x))

Lösung

\frac{d}{d x} (5 sin (x) + 2 cos (x))

Lösung

5 cos (x) - 2 sin (x)

Schritte zur Lösung

\frac{d}{d x} (5 sin (x) + 2 cos (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (5 sin (x)) + \frac{d}{d x} (2 cos (x))

\frac{d}{d x} (5 sin (x)) = 5 cos (x)

\frac{d}{d x} (2 cos (x)) = - 2 sin (x)

= 5 cos (x) - 2 sin (x)

Graph

Beliebte Beispiele

derivative f(x)=e^{x+1}+7

d er i v a t i v e f (x) = e^{x + 1} + 7

integral of-3/2 e^{-x}sin(2x)

\int - \frac{3}{2} e^{- x} sin (2 x) d x

integral of-(2x^2)/5+(3x)/4-1/6

\int - \frac{2 x ^{2}}{5} + \frac{3 x}{4} - \frac{1}{6} d x

derivative of e^{-(x^2/2})

\frac{d}{d x} (e^{- \frac{x ^{2}}{2}})

integral of 1/(3x^3)

\int \frac{1}{3 x ^{3}} d x