de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of 2sin^3(5x)

Lösung

\frac{d}{d x} (2 sin^{3} (5 x))

Lösung

30 sin^{2} (5 x) cos (5 x)

Schritte zur Lösung

\frac{d}{d x} (2 sin^{3} (5 x))

Entferne die Konstante:

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

= 2 \frac{d}{d x} (sin^{3} (5 x))

Wende die Kettenregel an:

3 (sin (5 x))^{2} \frac{d}{d x} (sin (5 x))

= 3 (sin (5 x))^{2} \frac{d}{d x} (sin (5 x))

\frac{d}{d x} (sin (5 x)) = cos (5 x) \cdot 5

= 2 \cdot 3 (sin (5 x))^{2} cos (5 x) \cdot 5

Vereinfache

= 30 sin^{2} (5 x) cos (5 x)

Graph

Beliebte Beispiele

integral of 3x(ln(x^7))^2

\int 3 x (ln (x^{7}))^{2} d x

derivative of arctan((3+x/(3-x)))

\frac{d}{d x} (arctan (\frac{3 + x}{3 - x}))

derivative of x+{z}(x)

\frac{d}{d x} (x + z (x))

derivative f(x)=-2sin(x)

d er i v a t i v e f (x) = - 2 sin (x)

derivative of ln((cos(x)/(sin(x))))

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