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Beliebt Rechnen >

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

Lösung

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

Lösung

cos (5 x) \cdot 5 + 5 sin (10 x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (sin^{2} (5 x)) = 5 sin (10 x)

= cos (5 x) \cdot 5 + 5 sin (10 x)

Graph

Beliebte Beispiele

integral of csc^2(θ)+3

\int csc^{2} (θ) + 3 d θ

integral of sqrt(4-9x)

\int 4 - 9 x d x

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\int_{- \infty}^{1} \frac{1}{x ^{2} + 1} d x

integral of 2x(x^2-1)^{97}

\int 2 x (x^{2} - 1)^{97} d x

derivative of tan^x(x)

\frac{d}{d x} (tan^{x} (x))