What is the derivative of 1/(x^{16}) ?

The derivative of 1/(x^{16}) is -(16)/(x^{17)}

What is the first derivative of 1/(x^{16}) ?

The first derivative of 1/(x^{16}) is -(16)/(x^{17)}

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\frac{d}{d x} (\frac{1}{x ^{16}})

- \frac{16}{x ^{17}}

Solution steps

\frac{d}{d x} (\frac{1}{x ^{16}})

Apply exponent rule:

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

= \frac{d}{d x} (x^{- 16})

Apply the Power Rule:

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

= - 16 x^{- 16 - 1}

Simplify

- 16 x^{- 16 - 1} : - \frac{16}{x ^{17}}

= - \frac{16}{x ^{17}}

y = - 8 x, y = 12, x = - 1, x = 1

\int \frac{( U - 2 )}{( U ^{2} - 3 U - 1 )} d U

f (x) = 16 - x^{2}, 0, 4

x

\frac{d}{d x} ((x - 5) ln (\frac{x - 5}{10}))

What is the derivative of 1/(x^{16}) ?
The derivative of 1/(x^{16}) is -(16)/(x^{17)}
What is the first derivative of 1/(x^{16}) ?
The first derivative of 1/(x^{16}) is -(16)/(x^{17)}