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

\int sin^{3} (v) cos^{8} (v) d v

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

f (x) = \frac{sin ( 5 x )}{3 x}

\frac{7}{1 - 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}