de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of 9sin^3(x)

Lösung

\frac{d}{d x} (9 sin^{3} (x))

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (9 sin^{3} (x))

Entferne die Konstante:

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

= 9 \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)

= 9 \cdot 3 (sin (x))^{2} cos (x)

Vereinfache

= 27 sin^{2} (x) cos (x)

Graph

Beliebte Beispiele

sum from n=1 to infinity of (n^3)/(3n^2)

n = 1 \sum \infty \frac{n ^{3}}{3 n ^{2}}

derivative of x(4-x)

\frac{d}{d x} (x (4 - x))

integral of 3cos(θ)

\int 3 cos (θ) d θ

derivative of-3x^{-2}

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

(\partial)/(\partial x)(e^{xyz})

\frac{\partial}{\partial x} (e^{x yz})