What is the derivative of 5x^{-15} ?

The derivative of 5x^{-15} is -(75)/(x^{16)}

What is the first derivative of 5x^{-15} ?

The first derivative of 5x^{-15} is -(75)/(x^{16)}

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derivative of

5 x^{- 15}

- \frac{75}{x ^{16}}

Solution steps

\frac{d}{d x} (5 x^{- 15})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 5 \frac{d}{d x} (x^{- 15})

Apply the Power Rule:

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

= 5 (- 15 x^{- 15 - 1})

Simplify

5 (- 15 x^{- 15 - 1}) : - \frac{75}{x ^{16}}

= - \frac{75}{x ^{16}}

\int \frac{10 x + 15}{x ^{2} + 3 x} d x

\frac{d y}{d x} = \frac{2 - x}{y - 3}

\int \frac{1}{x ( x - 1 ) ( x - 2 )} d x

\frac{\partial}{\partial v} (\frac{v}{u})

f (x) = (2 x)^{4 x}

What is the derivative of 5x^{-15} ?
The derivative of 5x^{-15} is -(75)/(x^{16)}
What is the first derivative of 5x^{-15} ?
The first derivative of 5x^{-15} is -(75)/(x^{16)}