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Beliebt Rechnen >

derivative f(x)=acos(2x)+bsin(2x)

Lösung

ableitung von

f (x) = a cos (2 x) + b sin (2 x)

Lösung

- 2 a sin (2 x) + b cos (2 x) \cdot 2

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= - 2 a sin (2 x) + b cos (2 x) \cdot 2

Graph

Beliebte Beispiele

integral from 1 to infinity of 15e^{-5x}

\int_{1}^{\infty} 15 e^{- 5 x} d x

derivative of cos(2x+x^2)

\frac{d}{d x} (cos (2 x) + x^{2})

derivative f(x)=(1-|x^3|)+(1-x^3)

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

derivative of-7sin(x/7)

\frac{d}{d x} (- 7 sin (\frac{x}{7}))

25 y^{^{''}} + 11 y = 0