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Beliebt Rechnen >

derivative y=sin^3(x)

Lösung

ableitung von

y = sin^{3} (x)

Lösung

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

Schritte zur Lösung

\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)

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

Vereinfache

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

Graph

Beliebte Beispiele

(\partial)/(\partial x)(b/(2b-k^2-1-2k*x))

\frac{\partial}{\partial x} (\frac{b}{2 b - k ^{2} - 1 - 2 k \cdot x})

integral of 2sin^2(xco)s^2x

\int 2 sin^{2} (x co) s^{2} x d x

y^'=([xy^2+(y)e^x])/(e^x)

y^{^{'}} = \frac{[ x y ^{2} + ( y ) e ^{x} ]}{e ^{x}}

derivative of x/(x^{-1+10})

\frac{d}{d x} (\frac{x}{x ^{- 1} + 10})

integral of 2sqrt(x-1)

\int 2 x - 1 d x