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

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

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

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

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derivative of

\frac{1}{x ^{2}}

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

Solution steps

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

= - 2 x^{- 2 - 1}

Simplify

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

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

\int \frac{x + 1}{x ^{2} + 1} d x

f (x) = \frac{5}{2 5 x + 6}, at x = 2

\int \frac{11 x ^{2}}{( 36 + x ^{2} ) ^{2}} d x

\frac{20}{s ^{2} + 6 s + 144}

\int x^{4} - 2 x d x

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