en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of-8/(x^2)-8/x

Solution

derivative of

- \frac{8}{x ^{2}} - \frac{8}{x}

Solution

\frac{16}{x ^{3}} + \frac{8}{x ^{2}}

Solution steps

\frac{d}{d x} (- \frac{8}{x ^{2}} - \frac{8}{x})

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (\frac{8}{x ^{2}}) - \frac{d}{d x} (\frac{8}{x})

\frac{d}{d x} (\frac{8}{x ^{2}}) = - \frac{16}{x ^{3}}

\frac{d}{d x} (\frac{8}{x}) = - \frac{8}{x ^{2}}

= - (- \frac{16}{x ^{3}}) - (- \frac{8}{x ^{2}})

Simplify

= \frac{16}{x ^{3}} + \frac{8}{x ^{2}}

Popular Examples

integral from 2 to 3 of (20)/(sqrt(3-x))

\int_{2}^{3} \frac{20}{3 - x} d x

(\partial)/(\partial x)(3cos(xy))

\frac{\partial}{\partial x} (3 cos (x y))

maclaurin 1/((1-3*x^3)^3)maclaurin

\frac{1}{( 1 - 3 \cdot x ^{3} ) ^{3}}

tangent of f(x)=sqrt(10x),(10,10)tangent of

f (x) = 10 x, (10, 10)

integral of (x-1)/(x^2-4x+5)

\int \frac{x - 1}{x ^{2} - 4 x + 5} d x

Frequently Asked Questions (FAQ)

What is the derivative of-8/(x^2)-8/x ?
The derivative of-8/(x^2)-8/x is (16)/(x^3)+8/(x^2)
What is the first derivative of-8/(x^2)-8/x ?
The first derivative of-8/(x^2)-8/x is (16)/(x^3)+8/(x^2)