en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 5/(9w^6)+5\sqrt[4]{w}

Solution

derivative of

Solution

\frac{- 40 w ^{\frac{3}{4}} + 15 w ^{7}}{12 w ^{\frac{31}{4}}}

Solution steps

Apply the Sum/Difference Rule:

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

\frac{d}{d w} (\frac{5}{9 w ^{6}}) = - \frac{10}{3 w ^{7}}

= - \frac{10}{3 w ^{7}} + \frac{5}{4 w ^{\frac{3}{4}}}

Simplify

- \frac{10}{3 w ^{7}} + \frac{5}{4 w ^{\frac{3}{4}}} : \frac{- 40 w ^{\frac{3}{4}} + 15 w ^{7}}{12 w ^{\frac{31}{4}}}

= \frac{- 40 w ^{\frac{3}{4}} + 15 w ^{7}}{12 w ^{\frac{31}{4}}}

Popular Examples

integral from 1 to 9 of (x-1)^{-2/3}

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

integral of 2/3 x^{3/2}

\int \frac{2}{3} x^{\frac{3}{2}} d x

integral of (x^2)/(y^2)

\int \frac{x ^{2}}{y ^{2}} d y

integral of 10x^4-sec^2(x)

\int 10 x^{4} - sec^{2} (x) d x

derivative of x^3(3x^6-5x^2+4)

\frac{d}{d x} (x^{3} (3 x^{6} - 5 x^{2} + 4))

Frequently Asked Questions (FAQ)

What is the derivative of 5/(9w^6)+5\sqrt[4]{w} ?
The derivative of 5/(9w^6)+5\sqrt[4]{w} is (-40w^{3/4}+15w^7)/(12w^{31/4)}
What is the first derivative of 5/(9w^6)+5\sqrt[4]{w} ?
The first derivative of 5/(9w^6)+5\sqrt[4]{w} is (-40w^{3/4}+15w^7)/(12w^{31/4)}