What is the derivative of 9/(x^2)-3/x ?

The derivative of 9/(x^2)-3/x is -(18)/(x^3)+3/(x^2)

What is the first derivative of 9/(x^2)-3/x ?

The first derivative of 9/(x^2)-3/x is -(18)/(x^3)+3/(x^2)

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derivative of

\frac{9}{x ^{2}} - \frac{3}{x}

- \frac{18}{x ^{3}} + \frac{3}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{9}{x ^{2}} - \frac{3}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{9}{x ^{2}}) - \frac{d}{d x} (\frac{3}{x})

\frac{d}{d x} (\frac{9}{x ^{2}}) = - \frac{18}{x ^{3}}

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

= - \frac{18}{x ^{3}} - (- \frac{3}{x ^{2}})

Simplify

= - \frac{18}{x ^{3}} + \frac{3}{x ^{2}}

What is the derivative of 9/(x^2)-3/x ?
The derivative of 9/(x^2)-3/x is -(18)/(x^3)+3/(x^2)
What is the first derivative of 9/(x^2)-3/x ?
The first derivative of 9/(x^2)-3/x is -(18)/(x^3)+3/(x^2)