de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of 10sin^3(x)

Lösung

\frac{d}{d x} (10 sin^{3} (x))

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (10 sin^{3} (x))

Entferne die Konstante:

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

= 10 \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)

= 10 \cdot 3 (sin (x))^{2} cos (x)

Vereinfache

= 30 sin^{2} (x) cos (x)

Graph

Beliebte Beispiele

integral of (3^x)/(ln(3))

\int \frac{3 ^{x}}{ln ( 3 )} d x

derivative of (cot(x)/x)

\frac{d}{d x} (\frac{cot ( x )}{x})

derivative (3+xf(x))/(sqrt(x))

d er i v a t i v e \frac{3 + x f ( x )}{x}

derivative of ln(1-(10/x))

\frac{d}{d x} (ln (1 - \frac{10}{x}))

derivative f(x)=sqrt(5x+1)

d er i v a t i v e f (x) = 5 x + 1