What is the derivative of 1/(x^{13)} ?

The derivative of 1/(x^{13)} is -(13)/(x^{14)}

What is the first derivative of 1/(x^{13)} ?

The first derivative of 1/(x^{13)} is -(13)/(x^{14)}

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derivative of

\frac{1}{x ^{13}}

- \frac{13}{x ^{14}}

Solution steps

\frac{d}{d x} (\frac{1}{x ^{13}})

Apply exponent rule:

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

= \frac{d}{d x} (x^{- 13})

Apply the Power Rule:

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

= - 13 x^{- 13 - 1}

Simplify

- 13 x^{- 13 - 1} : - \frac{13}{x ^{14}}

= - \frac{13}{x ^{14}}

x y^{^{'}} - 2 y = - 2 x^{2} + x - 2

f (x) = 6 x^{2} - x^{3}, at x = 1

- sin (x) - 4

\int (t) (e^{2 t}) d t

f (x) = cosh (3 \cdot ln (\frac{x}{2}))

What is the derivative of 1/(x^{13)} ?
The derivative of 1/(x^{13)} is -(13)/(x^{14)}
What is the first derivative of 1/(x^{13)} ?
The first derivative of 1/(x^{13)} is -(13)/(x^{14)}