de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative 3(x^2+5x)^3

Lösung

ableitung von

3 (x^{2} + 5 x)^{3}

Lösung

9 (x^{2} + 5 x)^{2} (2 x + 5)

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

= 9 (x^{2} + 5 x)^{2} (2 x + 5)

Graph

Beliebte Beispiele

derivative of 6x*sin(3x^2)

\frac{d}{d x} (6 x \cdot sin (3 x^{2}))

derivative of ln((4-x/(4+x)))

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

integral from 0 to 3 of c(3-x)

\int_{0}^{3} c (3 - x) d x

integral of (5x-3)/(x+1)

\int \frac{5 x - 3}{x + 1} d x

derivative f(x)= 4/(3x^2)

d er i v a t i v e f (x) = \frac{4}{3 x ^{2}}