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(5x^2)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (sin (5 x^{2})) = cos (5 x^{2}) \cdot 10 x

= 3 (sin (5 x^{2}))^{2} cos (5 x^{2}) \cdot 10 x

Vereinfache

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

Graph

Beliebte Beispiele

integral of 1/(5x^3)

\int \frac{1}{5 x ^{3}} d x

tangent f(x)=x^4-20x^2+64,\at x=-2

t an g e n t f (x) = x^{4} - 20 x^{2} + 64, at x = - 2

faktorisieren 24x^3+24x^2

f a c t or 24 x^{3} + 24 x^{2}

derivative of 2x^2-1/(x^2+1/(x^3))

\frac{d}{d x} (2 x^{2} - \frac{1}{x ^{2}} + \frac{1}{x ^{3}})

integral of (31)/(x^3-27)

\int \frac{31}{x ^{3} - 27} d x