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Beliebt Rechnen >

derivative of asin(5x+bcos(5x))

Lösung

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

Lösung

a cos (5 x) \cdot 5 - 5 b sin (5 x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= a cos (5 x) \cdot 5 - 5 b sin (5 x)

Graph

Beliebte Beispiele

y^{^{'}} = - y

derivative (x^6)/(5-x^5)

d er i v a t i v e \frac{x ^{6}}{5 - x ^{5}}

integral of 1/(sqrt(25x^2-4))

\int \frac{1}{25 x ^{2} - 4} d x

(\partial)/(\partial y)(e^xsin(y)+3y)

\frac{\partial}{\partial y} (e^{x} sin (y) + 3 y)

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

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