de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of sin^3(x^2+7)

Lösung

\frac{d}{d x} (sin^{3} (x^{2} + 7))

Lösung

6 x sin^{2} (x^{2} + 7) cos (x^{2} + 7)

Schritte zur Lösung

\frac{d}{d x} (sin^{3} (x^{2} + 7))

Wende die Kettenregel an:

3 (sin (x^{2} + 7))^{2} \frac{d}{d x} (sin (x^{2} + 7))

= 3 (sin (x^{2} + 7))^{2} \frac{d}{d x} (sin (x^{2} + 7))

\frac{d}{d x} (sin (x^{2} + 7)) = cos (x^{2} + 7) \cdot 2 x

= 3 (sin (x^{2} + 7))^{2} cos (x^{2} + 7) \cdot 2 x

Vereinfache

= 6 x sin^{2} (x^{2} + 7) cos (x^{2} + 7)

Graph

Beliebte Beispiele

inverselaplace 1/(2s^2+8s+10)

in v erse l a pl a ce \frac{1}{2 s ^{2} + 8 s + 10}

integral of 1/2 (x+y)e^{-x-y}

\int \frac{1}{2} (x + y) e^{- x - y} d x

derivative of 1/2 x^{4/5}

\frac{d}{d x} (\frac{1}{2} x^{\frac{4}{5}})

limit as x approaches 3-of 3+x

x \to 3 - lim (3 + x)

derivative of 4/(e^x+e^{-x})

\frac{d}{d x} (\frac{4}{e ^{x} + e ^{- x}})