"Use the rules for derivatives to find the..." was answered by students like you

3kofbe

Answered question

2021-12-06

Use the rules for derivatives to find the derivative of function defined as follows.

y = - 4 x^{- 3}

Answer & Explanation

Aretha Frazier

Beginner2021-12-07Added 16 answers

Step 1
Given:

y = - 4 x^{- 3}

Step 2

y = - 4 x^{- 3}

Differentiate with respect to x:

\frac{d y}{d x} = \frac{d}{d x} (- 4 x^{- 3})

Apply power rule:

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

\frac{d y}{d x} = - 4 \times (- 3) x^{- 3 - 1}

\frac{d y}{d x} = 12 x^{- 4}

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