en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of y= 5/(x^4)-7/x

Solution

derivative of

y = \frac{5}{x ^{4}} - \frac{7}{x}

Solution

- \frac{20}{x ^{5}} + \frac{7}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{5}{x ^{4}} - \frac{7}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{5}{x ^{4}}) - \frac{d}{d x} (\frac{7}{x})

\frac{d}{d x} (\frac{5}{x ^{4}}) = - \frac{20}{x ^{5}}

\frac{d}{d x} (\frac{7}{x}) = - \frac{7}{x ^{2}}

= - \frac{20}{x ^{5}} - (- \frac{7}{x ^{2}})

Simplify

= - \frac{20}{x ^{5}} + \frac{7}{x ^{2}}

Popular Examples

inverse oflaplace (3s)/((s-1)(s^2+1))inverse laplace

\frac{3 s}{( s - 1 ) ( s ^{2} + 1 )}

limit as x approaches infinity of 2x-2

x \to \infty lim (2 x - 2)

inverse oflaplace 1/(4s+1)inverse laplace

\frac{1}{4 s + 1}

y^'+2y=6,y(0)=0

y^{^{'}} + 2 y = 6, y (0) = 0

slope of (2.5)(1.1)slope

(2.5) (1.1)

Frequently Asked Questions (FAQ)

What is the derivative of y= 5/(x^4)-7/x ?
The derivative of y= 5/(x^4)-7/x is -(20)/(x^5)+7/(x^2)
What is the first derivative of y= 5/(x^4)-7/x ?
The first derivative of y= 5/(x^4)-7/x is -(20)/(x^5)+7/(x^2)