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Beliebt Rechnen >

derivative of-2asin(2x+2bcos(2x))

Lösung

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

Lösung

- 4 a cos (2 x) - 4 b sin (2 x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (2 a sin (2 x)) = 4 a cos (2 x)

\frac{d}{d x} (2 b cos (2 x)) = - 4 b sin (2 x)

= - 4 a cos (2 x) - 4 b sin (2 x)

Graph

Beliebte Beispiele

derivative y=sqrt(2+8e^{6x)}

d er i v a t i v e y = 2 + 8 e^{6 x}

derivative of ((e^x-2)/((1-e^{-x))^2})

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

integral of 1/((x-1)^2)

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

(\partial)/(\partial x)(5xy)

\frac{\partial}{\partial x} (5 x y)

derivative of (e^{-x}-e^5(e^x+e^{-3}))

\frac{d}{d x} ((e^{- x} - e^{5}) (e^{x} + e^{- 3}))