What is the derivative of (180)/(x^7)-4/(x^3) ?

The derivative of (180)/(x^7)-4/(x^3) is -(1260)/(x^8)+(12)/(x^4)

What is the first derivative of (180)/(x^7)-4/(x^3) ?

The first derivative of (180)/(x^7)-4/(x^3) is -(1260)/(x^8)+(12)/(x^4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

\frac{180}{x ^{7}} - \frac{4}{x ^{3}}

- \frac{1260}{x ^{8}} + \frac{12}{x ^{4}}

Solution steps

\frac{d}{d x} (\frac{180}{x ^{7}} - \frac{4}{x ^{3}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{180}{x ^{7}}) - \frac{d}{d x} (\frac{4}{x ^{3}})

\frac{d}{d x} (\frac{180}{x ^{7}}) = - \frac{1260}{x ^{8}}

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

= - \frac{1260}{x ^{8}} - (- \frac{12}{x ^{4}})

Simplify

= - \frac{1260}{x ^{8}} + \frac{12}{x ^{4}}

What is the derivative of (180)/(x^7)-4/(x^3) ?
The derivative of (180)/(x^7)-4/(x^3) is -(1260)/(x^8)+(12)/(x^4)
What is the first derivative of (180)/(x^7)-4/(x^3) ?
The first derivative of (180)/(x^7)-4/(x^3) is -(1260)/(x^8)+(12)/(x^4)