If f(x) = 2/x^2 find f'(3)

Question

If f(x) = 2/x^2 find f'(3)

Answer 1

Hello Novalee,

(i) Rewrite f(x) = 2x^-2

→ f'(x) = -4x^-3

= -4 / x³

^{(ii) Hence f'(3) = -4/27}

^{Thank you for posting the question.}

^{Kind regards,}

^Michael

Answer 2

Write f(x) as f(x)=2x^-2.

Then by the power rule

f'(x) = -4x^-3.

f'(3) = -4/(3)³=-4/27