What is the derivative of 5x^{-4} ?

The derivative of 5x^{-4} is -(20)/(x^5)

What is the first derivative of 5x^{-4} ?

The first derivative of 5x^{-4} is -(20)/(x^5)

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derivative of

5 x^{- 4}

- \frac{20}{x ^{5}}

Solution steps

\frac{d}{d x} (5 x^{- 4})

Take the constant out:

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

= 5 \frac{d}{d x} (x^{- 4})

Apply the Power Rule:

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

= 5 (- 4 x^{- 4 - 1})

Simplify

5 (- 4 x^{- 4 - 1}) : - \frac{20}{x ^{5}}

= - \frac{20}{x ^{5}}

\int (x + 1) \cdot (x - x + 1) d x

e^{x + y} d x + d y = 0

\frac{\partial}{\partial z} (4 y (z + 1)^{2})

\int (10 x) d x

\frac{d}{d x} (\frac{2 x ^{2} + 6 x + 2}{x})

What is the derivative of 5x^{-4} ?
The derivative of 5x^{-4} is -(20)/(x^5)
What is the first derivative of 5x^{-4} ?
The first derivative of 5x^{-4} is -(20)/(x^5)