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Popular Calculus >

derivative of 6+4/x+6/(x^2)

Solution

derivative of

6 + \frac{4}{x} + \frac{6}{x ^{2}}

Solution

- \frac{4}{x ^{2}} - \frac{12}{x ^{3}}

Solution steps

\frac{d}{d x} (6 + \frac{4}{x} + \frac{6}{x ^{2}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (6) + \frac{d}{d x} (\frac{4}{x}) + \frac{d}{d x} (\frac{6}{x ^{2}})

\frac{d}{d x} (6) = 0

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

\frac{d}{d x} (\frac{6}{x ^{2}}) = - \frac{12}{x ^{3}}

= 0 - \frac{4}{x ^{2}} - \frac{12}{x ^{3}}

Simplify

= - \frac{4}{x ^{2}} - \frac{12}{x ^{3}}

Graph

Popular Examples

integral of 4^x(4^x+1)^3

\int 4^{x} (4^{x} + 1)^{3} d x

slope ofintercept (-1/2 ,1),(-2, 1/2)

s l o p e in t erce pt (- \frac{1}{2}, 1), (- 2, \frac{1}{2})

integral of sqrt(4-y)

\int 4 - y d y

derivative of (x-3xsqrt(x)/(sqrt(x)))

\frac{d}{d x} (\frac{x - 3 x x}{x})

derivative of sqrt((4+x^2)/(4-x))

d er i v a t i v e \frac{4 + x ^{2}}{4 - x}

Frequently Asked Questions (FAQ)

What is the derivative of 6+4/x+6/(x^2) ?
The derivative of 6+4/x+6/(x^2) is -4/(x^2)-(12)/(x^3)
What is the first derivative of 6+4/x+6/(x^2) ?
The first derivative of 6+4/x+6/(x^2) is -4/(x^2)-(12)/(x^3)