What is the derivative of-6/(x^2)-5/x ?

The derivative of-6/(x^2)-5/x is (12)/(x^3)+5/(x^2)

What is the first derivative of-6/(x^2)-5/x ?

The first derivative of-6/(x^2)-5/x is (12)/(x^3)+5/(x^2)

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derivative of

- \frac{6}{x ^{2}} - \frac{5}{x}

\frac{12}{x ^{3}} + \frac{5}{x ^{2}}

Solution steps

\frac{d}{d x} (- \frac{6}{x ^{2}} - \frac{5}{x})

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (\frac{6}{x ^{2}}) - \frac{d}{d x} (\frac{5}{x})

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

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

= - (- \frac{12}{x ^{3}}) - (- \frac{5}{x ^{2}})

Simplify

= \frac{12}{x ^{3}} + \frac{5}{x ^{2}}

What is the derivative of-6/(x^2)-5/x ?
The derivative of-6/(x^2)-5/x is (12)/(x^3)+5/(x^2)
What is the first derivative of-6/(x^2)-5/x ?
The first derivative of-6/(x^2)-5/x is (12)/(x^3)+5/(x^2)