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)

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derivative of

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

- \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}}

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)