en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 4x^2-11x-5/(x^3)

Solution

\frac{d}{d x} (4 x^{2} - 11 x - \frac{5}{x ^{3}})

Solution

8 x - 11 + \frac{15}{x ^{4}}

Solution steps

\frac{d}{d x} (4 x^{2} - 11 x - \frac{5}{x ^{3}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x^{2}) - \frac{d}{d x} (11 x) - \frac{d}{d x} (\frac{5}{x ^{3}})

\frac{d}{d x} (4 x^{2}) = 8 x

\frac{d}{d x} (11 x) = 11

\frac{d}{d x} (\frac{5}{x ^{3}}) = - \frac{15}{x ^{4}}

= 8 x - 11 - (- \frac{15}{x ^{4}})

Simplify

= 8 x - 11 + \frac{15}{x ^{4}}

Popular Examples

limit as x approaches 0 of cos(4x)

x \to 0 lim (cos (4 x))

(x^2+1)y^'+4x(y-1)=0

(x^{2} + 1) y^{^{'}} + 4 x (y - 1) = 0

derivative of sqrt(49-x^2)derivative of

49 - x^{2}

taylor f(x)=x^3-3x^2+4x+5,x=3 taylor

f (x) = x^{3} - 3 x^{2} + 4 x + 5, x = 3

maclaurin (1+x)^{-7/3},4 maclaurin

(1 + x)^{- \frac{7}{3}}, 4

Frequently Asked Questions (FAQ)

What is the derivative of 4x^2-11x-5/(x^3) ?
The derivative of 4x^2-11x-5/(x^3) is 8x-11+(15)/(x^4)
What is the first derivative of 4x^2-11x-5/(x^3) ?
The first derivative of 4x^2-11x-5/(x^3) is 8x-11+(15)/(x^4)