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Popular >

derivative of-ax-d/(x^2)

Solution

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

Solution

- 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}}

Popular Examples

integral of e^{-x}*ln(x)

\int e^{- x} \cdot ln (x) d x

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integral of (sec(x))/(sec(x)+tan(x))

\int \frac{sec ( x )}{sec ( x ) + tan ( x )} d x

limit as x approaches 2+of 3/(x-2)

x \to 2 + lim (\frac{3}{x - 2})

(\partial)/(\partial z)(3ze^{xyz})

\frac{\partial}{\partial z} (3 z e^{x yz})

Frequently Asked Questions (FAQ)

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)