"Use formulas (1) and (2) and the power..." was answered by our community

hionormf

Answered question

2021-12-06

Use formulas (1) and (2) and the power rule to find the derivatives of

f (x) = \frac{1}{x^{3}}

Answer & Explanation

Nadine Salcido

Beginner2021-12-07Added 34 answers

Step 1
Definition used -

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

Power rule of derivative -

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

Step 2
Given -

f (x) = \frac{1}{x^{3}}

\frac{1}{x^{3}} = x^{- 3}

f (x) = x^{- 3}

Here n =-3
Now we can use the power rule-

f^{'} (x) = - 3 x^{- 4}

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