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Popular >

derivative of c/x+(2a)/(x^3)+8

Solution

derivative of

\frac{c}{x} + \frac{2 a}{x ^{3}} + 8

Solution

- \frac{c}{x ^{2}} - \frac{6 a}{x ^{4}}

Solution steps

\frac{d}{d x} (\frac{c}{x} + \frac{2 a}{x ^{3}} + 8)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{c}{x}) + \frac{d}{d x} (\frac{2 a}{x ^{3}}) + \frac{d}{d x} (8)

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

\frac{d}{d x} (\frac{2 a}{x ^{3}}) = - \frac{6 a}{x ^{4}}

\frac{d}{d x} (8) = 0

= - \frac{c}{x ^{2}} - \frac{6 a}{x ^{4}} + 0

Simplify

= - \frac{c}{x ^{2}} - \frac{6 a}{x ^{4}}

Popular Examples

derivative of 2/2

\frac{d}{d x} (\frac{2}{2})

tangent of f(x)=(3x)/(x^2-6),\at x=3 tangent of

f (x) = \frac{3 x}{x ^{2} - 6}, at x = 3

2y^{''}-9y^'-18y=0,y(0)=8,y^'(0)=7

2 y^{^{''}} - 9 y^{^{'}} - 18 y = 0, y (0) = 8, y^{^{'}} (0) = 7

derivative of (1+csc(x^9)/(1-cot(x^9)))

\frac{d}{d x} (\frac{1 + csc ( x ^{9} )}{1 - cot ( x ^{9} )})

integral of 5/(xsqrt(4-25ln^2(x)))

\int \frac{5}{x 4 - 25 ln ^{2} ( x )} d x

Frequently Asked Questions (FAQ)

What is the derivative of c/x+(2a)/(x^3)+8 ?
The derivative of c/x+(2a)/(x^3)+8 is -c/(x^2)-(6a)/(x^4)
What is the first derivative of c/x+(2a)/(x^3)+8 ?
The first derivative of c/x+(2a)/(x^3)+8 is -c/(x^2)-(6a)/(x^4)