What is the derivative of f(x)=x^{-15} ?

The derivative of f(x)=x^{-15} is -(15)/(x^{16)}

What is the first derivative of f(x)=x^{-15} ?

The first derivative of f(x)=x^{-15} is -(15)/(x^{16)}

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derivative of

f (x) = x^{- 15}

- \frac{15}{x ^{16}}

Solution steps

\frac{d}{d x} (x^{- 15})

Apply the Power Rule:

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

= - 15 x^{- 15 - 1}

Simplify

- 15 x^{- 15 - 1} : - \frac{15}{x ^{16}}

= - \frac{15}{x ^{16}}

y^{^{'}} + \frac{1}{200 + 3 t} y = 12

\int \frac{1}{9 v ^{2} - 16} d v

3 x^{2} - 2

\frac{\partial}{\partial s} (s t)

x \to 0 lim (2 x^{2} sin (\frac{1}{x}))

What is the derivative of f(x)=x^{-15} ?
The derivative of f(x)=x^{-15} is -(15)/(x^{16)}
What is the first derivative of f(x)=x^{-15} ?
The first derivative of f(x)=x^{-15} is -(15)/(x^{16)}