Derivative of 1/(x^2+7)^2

Instant step-by-step solution for 1/(x^2+7)^2

Solution

AI Explanation

Rule used: Quotient Rule.

Step-by-Step

Graph

Derivative of 1/(x^2+7)^2

Answer
-4*(7+x^2)^(-3)*x
Rule Used
Quotient Rule
Steps
  1. Identify a quotient of two functions: use the quotient rule (u/v)' = (u'v − uv')/v².
  2. Differentiate numerator and denominator, then combine.
  3. Final answer: -4*(7+x^2)^(-3)*x
Share this result

Derivative of 1/(x^2+7)^2 = -4*(7+x^2)^(-3)*x Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-1-minus-over-minus-x-minus-to-minus-the-minus-2-minus-plus-minus-7-minus-to-minus-the-minus-2

How to find the derivative of 1/(x^2+7)^2

To find the derivative of 1/(x^2+7)^2, we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.