What is the derivative of 1/r ?

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

What is the first derivative of 1/r ?

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

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derivative of

\frac{1}{r}

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

Solution steps

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

Apply exponent rule:

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

= \frac{d}{d r} (r^{- 1})

Apply the Power Rule:

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

= - 1 \cdot r^{- 1 - 1}

Simplify

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

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

\frac{d}{d n} (\frac{n !}{7 ^{n}})

1 + x tan (x)

3 x^{2} - 5 x^{3} + 4 x^{20}

y = e^{4} + ln (x)

3 sin^{2} (x) + 2 tan (x)