en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of (3x^2+4x+1^{10})

Solution

\frac{d}{d x} ((3 x^{2} + 4 x + 1)^{10})

Solution

10 (3 x^{2} + 4 x + 1)^{9} (6 x + 4)

Solution steps

\frac{d}{d x} ((3 x^{2} + 4 x + 1)^{10})

Apply the chain rule:

10 (3 x^{2} + 4 x + 1)^{9} \frac{d}{d x} (3 x^{2} + 4 x + 1)

= 10 (3 x^{2} + 4 x + 1)^{9} \frac{d}{d x} (3 x^{2} + 4 x + 1)

\frac{d}{d x} (3 x^{2} + 4 x + 1) = 6 x + 4

= 10 (3 x^{2} + 4 x + 1)^{9} (6 x + 4)

Popular Examples

integral from 4 to 8 of x/(x^2+6x+13)

\int_{4}^{8} \frac{x}{x ^{2} + 6 x + 13} d x

derivative of 1/a sin(b+ax)

\frac{d}{d x} (\frac{1}{a} sin (b + a x))

integral of e^{5x}cos(x)

\int e^{5 x} cos (x) d x

(dy)/(dx)=(((2y+5))/(8x+9))^2

\frac{d y}{d x} = (\frac{( 2 y + 5 )}{8 x + 9})^{2}

derivative of (8sqrt(x)+1/(x^{-5)})

\frac{d}{d x} (\frac{8 x + 1}{x ^{- 5}})

Frequently Asked Questions (FAQ)

What is the derivative of (3x^2+4x+1^{10}) ?
The derivative of (3x^2+4x+1^{10}) is 10(3x^2+4x+1)^9(6x+4)
What is the first derivative of (3x^2+4x+1^{10}) ?
The first derivative of (3x^2+4x+1^{10}) is 10(3x^2+4x+1)^9(6x+4)