What is the derivative of f(x)= 1/(x^{10)} ?

The derivative of f(x)= 1/(x^{10)} is -(10)/(x^{11)}

What is the first derivative of f(x)= 1/(x^{10)} ?

The first derivative of f(x)= 1/(x^{10)} is -(10)/(x^{11)}

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derivative of

f (x) = \frac{1}{x ^{10}}

- \frac{10}{x ^{11}}

Solution steps

\frac{d}{d x} (\frac{1}{x ^{10}})

Apply exponent rule:

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

= \frac{d}{d x} (x^{- 10})

Apply the Power Rule:

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

= - 10 x^{- 10 - 1}

Simplify

- 10 x^{- 10 - 1} : - \frac{10}{x ^{11}}

= - \frac{10}{x ^{11}}

f (x) = x + 7, (9, 4)

\frac{d x}{d t} = \frac{2 x ^{2} + t 7 t ^{2} + x ^{2}}{2 t x}

f (x) = cos (\frac{e ^{x}}{x ^{4} + 1})

7 t \cdot \frac{d y}{d t} + y = t

3 - x^{2}, 6 - 4 x

What is the derivative of f(x)= 1/(x^{10)} ?
The derivative of f(x)= 1/(x^{10)} is -(10)/(x^{11)}
What is the first derivative of f(x)= 1/(x^{10)} ?
The first derivative of f(x)= 1/(x^{10)} is -(10)/(x^{11)}