What is the derivative of-ax-d/(x^2) ?

The derivative of-ax-d/(x^2) is -a+(2d)/(x^3)

What is the first derivative of-ax-d/(x^2) ?

The first derivative of-ax-d/(x^2) is -a+(2d)/(x^3)

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\frac{d}{d x} (- a x - \frac{d}{x ^{2}})

- a + \frac{2 d}{x ^{3}}

Solution steps

\frac{d}{d x} (- a x - \frac{d}{x ^{2}})

Treat

a, d

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (a x) = a

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

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

Simplify

= - a + \frac{2 d}{x ^{3}}

What is the derivative of-ax-d/(x^2) ?
The derivative of-ax-d/(x^2) is -a+(2d)/(x^3)
What is the first derivative of-ax-d/(x^2) ?
The first derivative of-ax-d/(x^2) is -a+(2d)/(x^3)