What is the d/(d{r)}(1/({r)^2}) ?

The d/(d{r)}(1/({r)^2}) is -2/({r)^3}

What is the first d/(d{r)}(1/({r)^2}) ?

The first d/(d{r)}(1/({r)^2}) is -2/({r)^3}

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\frac{d}{d r} (\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}}

\frac{d}{d n} ((n + 1)^{n})

d er i v a t i v e f (x) = \frac{sin ( 5 x )}{3 x}

\int \frac{1}{1 - 49 x ^{2}} d x

\int \frac{x ^{2} - 25}{x - 5} d x

\frac{d}{d x} (7 e^{x} + \frac{2}{3 x})

What is the d/(d{r)}(1/({r)^2}) ?
The d/(d{r)}(1/({r)^2}) is -2/({r)^3}
What is the first d/(d{r)}(1/({r)^2}) ?
The first d/(d{r)}(1/({r)^2}) is -2/({r)^3}