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Beliebt Rechnen >

derivative of sin(xsin(2x))

Lösung

\frac{d}{d x} (sin (x) sin (2 x))

Lösung

cos (x) sin (2 x) + cos (2 x) \cdot 2 sin (x)

Schritte zur Lösung

\frac{d}{d x} (sin (x) sin (2 x))

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = sin (x), g = sin (2 x)

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

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

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

= cos (x) sin (2 x) + cos (2 x) \cdot 2 sin (x)

Graph

Beliebte Beispiele

derivative of 3x^4-16x^3-18x^2

\frac{d}{d x} (3 x^{4} - 16 x^{3} - 18 x^{2})

derivative sqrt(10x+1)

d er i v a t i v e 10 x + 1

derivative y=[x(x^5+4)^4]

d er i v a t i v e y = [x (x^{5} + 4)^{4}]

integral of 6/(3x+1)

\int \frac{6}{3 x + 1} d x

limit as x approaches infinity+of 1/(log_{10)(x)}

x \to \infty + lim (\frac{1}{lo g _{10} ( x )})