en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of (9x+2^{2/3})

Solution

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

Solution

\frac{6}{( 9 x + 2 ) ^{\frac{1}{3}}}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (9 x + 2) = 9

= \frac{2}{3 ( 9 x + 2 ) ^{\frac{1}{3}}} \cdot 9

Simplify

\frac{2}{3 ( 9 x + 2 ) ^{\frac{1}{3}}} \cdot 9 : \frac{6}{( 9 x + 2 ) ^{\frac{1}{3}}}

= \frac{6}{( 9 x + 2 ) ^{\frac{1}{3}}}

Popular Examples

integral of sin(ax)cos(ax)

\int sin (a x) cos (a x) d x

limit as x approaches 0 of (1/3)^{1/x}

x \to 0 lim ((\frac{1}{3})^{\frac{1}{x}})

integral from 1 to 2 of (ln(t))/(t^2)

\int_{1}^{2} \frac{ln ( t )}{t ^{2}} d t

integral of (sin(x))/(1-sin(x))

\int \frac{sin ( x )}{1 - sin ( x )} d x

integral of 7x^6-6/(x^6)

\int 7 x^{6} - \frac{6}{x ^{6}} d x

Frequently Asked Questions (FAQ)

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