What is the derivative of 1/p ?

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

What is the first derivative of 1/p ?

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

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derivative of

\frac{1}{p}

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

Solution steps

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

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

Simplify

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

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

\frac{d}{d y} (\frac{y}{2 x + 1})

d er i v a t i v e \frac{1}{n}

d er i v a t i v e (3 x^{2} + 7) (6 x + 3)

d er i v a t i v e (x^{2} - y^{2})^{\frac{1}{2}}

d er i v a t i v e \frac{( ( x ^{6} ) - 1 )}{( ( x ^{6} ) + 1 )}