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Beliebt Rechnen >

derivative f(x)=2(sin^3(x))

Lösung

ableitung von

f (x) = 2 (sin^{3} (x))

Lösung

6 sin^{2} (x) cos (x)

Schritte zur Lösung

\frac{d}{d x} (2 sin^{3} (x))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 \frac{d}{d x} (sin^{3} (x))

Wende die Kettenregel an:

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

= 3 (sin (x))^{2} \frac{d}{d x} (sin (x))

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

= 2 \cdot 3 (sin (x))^{2} cos (x)

Vereinfache

= 6 sin^{2} (x) cos (x)

Graph

Beliebte Beispiele

integral of (sin(2x))/(14+cos^2(x))

\int \frac{sin ( 2 x )}{14 + cos ^{2} ( x )} d x

y^'+2/x y=y^2,y(1)=3

y^{^{'}} + \frac{2}{x} y = y^{2}, y (1) = 3

derivative of a/(2y)

\frac{d}{d x} (\frac{a}{2 y})

t^{3} y^{^{'}} + 4 t^{2} y = 0

integral of (3sin^3(x))/(cos(x))

\int \frac{3 sin ^{3} ( x )}{cos ( x )} d x