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

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

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

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

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derivative of

\frac{1}{r ^{2}}

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

Solution steps

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

= - 2 r^{- 2 - 1}

Simplify

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

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

y = 2 t^{2}

\frac{x}{( x ^{2} + 4 )}

(2 x + 3)^{5}

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

(a + 2 x)^{7 x}

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