What is the derivative of-1/(2x^2)+(32)/(5x^5) ?

The derivative of-1/(2x^2)+(32)/(5x^5) is 1/(x^3)-(32)/(x^6)

What is the first derivative of-1/(2x^2)+(32)/(5x^5) ?

The first derivative of-1/(2x^2)+(32)/(5x^5) is 1/(x^3)-(32)/(x^6)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

- \frac{1}{2 x ^{2}} + \frac{32}{5 x ^{5}}

\frac{1}{x ^{3}} - \frac{32}{x ^{6}}

Solution steps

\frac{d}{d x} (- \frac{1}{2 x ^{2}} + \frac{32}{5 x ^{5}})

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (\frac{1}{2 x ^{2}}) + \frac{d}{d x} (\frac{32}{5 x ^{5}})

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

\frac{d}{d x} (\frac{32}{5 x ^{5}}) = - \frac{32}{x ^{6}}

= - (- \frac{1}{x ^{3}}) - \frac{32}{x ^{6}}

Simplify

= \frac{1}{x ^{3}} - \frac{32}{x ^{6}}

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

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

\int - \frac{4000}{x ^{2}} d x

\frac{d}{d x} (sin^{2} (x) cos^{3} (x))

x \to 0 lim (x sin (\frac{4}{x}))

What is the derivative of-1/(2x^2)+(32)/(5x^5) ?
The derivative of-1/(2x^2)+(32)/(5x^5) is 1/(x^3)-(32)/(x^6)
What is the first derivative of-1/(2x^2)+(32)/(5x^5) ?
The first derivative of-1/(2x^2)+(32)/(5x^5) is 1/(x^3)-(32)/(x^6)