en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of (4x-1^{1/3})

Solution

\frac{d}{d x} ((4 x - 1)^{\frac{1}{3}})

Solution

\frac{4}{3 ( 4 x - 1 ) ^{\frac{2}{3}}}

Solution steps

\frac{d}{d x} ((4 x - 1)^{\frac{1}{3}})

Apply the chain rule:

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

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

\frac{d}{d x} (4 x - 1) = 4

= \frac{1}{3 ( 4 x - 1 ) ^{\frac{2}{3}}} \cdot 4

Simplify

\frac{1}{3 ( 4 x - 1 ) ^{\frac{2}{3}}} \cdot 4 : \frac{4}{3 ( 4 x - 1 ) ^{\frac{2}{3}}}

= \frac{4}{3 ( 4 x - 1 ) ^{\frac{2}{3}}}

Popular Examples

derivative of (x^4+6x-1)/(7x^2-6x+1)derivative of

\frac{x ^{4} + 6 x - 1}{7 x ^{2} - 6 x + 1}

derivative of sin(15x)derivative of

sin (15 x)

integral of sqrt(6-x^2)

\int 6 - x^{2} d x

y^'=(sqrt(1-y^2))/t

y^{^{'}} = \frac{1 - y ^{2}}{t}

tangent of f(x)=4x^2+2x,(-2,12)tangent of

f (x) = 4 x^{2} + 2 x, (- 2, 12)

Frequently Asked Questions (FAQ)

What is the derivative of (4x-1^{1/3}) ?
The derivative of (4x-1^{1/3}) is 4/(3(4x-1)^{2/3)}
What is the first derivative of (4x-1^{1/3}) ?
The first derivative of (4x-1^{1/3}) is 4/(3(4x-1)^{2/3)}