What is the derivative of 1/(u^2) ?

The derivative of 1/(u^2) is -2/(u^3)

What is the first derivative of 1/(u^2) ?

The first derivative of 1/(u^2) is -2/(u^3)

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derivative of

\frac{1}{u ^{2}}

- \frac{2}{u ^{3}}

Solution steps

\frac{d}{d u} (\frac{1}{u ^{2}})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= \frac{d}{d u} (u^{- 2})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= - 2 u^{- 2 - 1}

Simplify

- 2 u^{- 2 - 1} : - \frac{2}{u ^{3}}

= - \frac{2}{u ^{3}}

\frac{( 6 + 7 x )}{( x ^{4} + 5 x - 5 )}

k = 2 \sum \infty \frac{8}{4 ^{2 k}}

f (x) = - x + 3 sin (x)

\int 6 x 1 - 3 x^{2} d x

\frac{d}{d x} (- \frac{4}{x ^{4}})

What is the derivative of 1/(u^2) ?
The derivative of 1/(u^2) is -2/(u^3)
What is the first derivative of 1/(u^2) ?
The first derivative of 1/(u^2) is -2/(u^3)