en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of \sqrt[5]{2x+6}

Solution

\frac{d}{d x} (5 2 x + 6)

Solution

\frac{2}{5 ( 2 x + 6 ) ^{\frac{4}{5}}}

Solution steps

\frac{d}{d x} (5 2 x + 6)

Apply the chain rule:

\frac{1}{5 ( 2 x + 6 ) ^{\frac{4}{5}}} \frac{d}{d x} (2 x + 6)

= \frac{1}{5 ( 2 x + 6 ) ^{\frac{4}{5}}} \frac{d}{d x} (2 x + 6)

\frac{d}{d x} (2 x + 6) = 2

= \frac{1}{5 ( 2 x + 6 ) ^{\frac{4}{5}}} \cdot 2

Simplify

\frac{1}{5 ( 2 x + 6 ) ^{\frac{4}{5}}} \cdot 2 : \frac{2}{5 ( 2 x + 6 ) ^{\frac{4}{5}}}

= \frac{2}{5 ( 2 x + 6 ) ^{\frac{4}{5}}}

Graph

Popular Examples

limit as x approaches 1 of 3/(x+1)

x \to 1 lim (\frac{3}{x + 1})

integral of (x^2-x)^4(2x-1)

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

derivative of (x^2+2x^2)

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

(\partial)/(\partial x)(5x^8y^5+2x^4y^6)

\frac{\partial}{\partial x} (5 x^{8} y^{5} + 2 x^{4} y^{6})

derivative of 12x^3cos(x^4)

\frac{d}{d x} (12 x^{3} cos (x^{4}))

Frequently Asked Questions (FAQ)

What is the derivative of \sqrt[5]{2x+6} ?
The derivative of \sqrt[5]{2x+6} is 2/(5(2x+6)^{4/5)}
What is the first derivative of \sqrt[5]{2x+6} ?
The first derivative of \sqrt[5]{2x+6} is 2/(5(2x+6)^{4/5)}