en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of \sqrt[7]{x}+6sqrt(x^7)

Solution

Solution

\frac{1 + 147 x ^{\frac{47}{14}}}{7 x ^{\frac{6}{7}}}

Solution steps

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

\frac{d}{d x} (6 x^{7}) = 21 x^{\frac{5}{2}}

= \frac{1}{7 x ^{\frac{6}{7}}} + 21 x^{\frac{5}{2}}

Simplify

\frac{1}{7 x ^{\frac{6}{7}}} + 21 x^{\frac{5}{2}} : \frac{1 + 147 x ^{\frac{47}{14}}}{7 x ^{\frac{6}{7}}}

= \frac{1 + 147 x ^{\frac{47}{14}}}{7 x ^{\frac{6}{7}}}

Popular Examples

integral of 1/(sqrt(100-x^2))

\int \frac{1}{100 - x ^{2}} d x

(\partial)/(\partial x)((-y^2)/((x-y)^2))

\frac{\partial}{\partial x} (\frac{- y ^{2}}{( x - y ) ^{2}})

integral of e^{i7x}cos(5x)

\int e^{i 7 x} cos (5 x) d x

(\partial)/(\partial x)(5e^{x-y})

\frac{\partial}{\partial x} (5 e^{x - y})

integral of 3/((x^2+1)^{3/2)}

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

Frequently Asked Questions (FAQ)

What is the derivative of \sqrt[7]{x}+6sqrt(x^7) ?
The derivative of \sqrt[7]{x}+6sqrt(x^7) is (1+147x^{47/14})/(7x^{6/7)}
What is the first derivative of \sqrt[7]{x}+6sqrt(x^7) ?
The first derivative of \sqrt[7]{x}+6sqrt(x^7) is (1+147x^{47/14})/(7x^{6/7)}