Derivative of ln(x^2+6)

Instant step-by-step solution for ln(x^2+6)

Solution

AI Explanation

Rule used: Logarithmic Rule.

Step-by-Step

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Derivative of ln(x^2+6)

Answer
2*(6+x^2)^(-1)*x
Rule Used
Logarithmic Rule
Steps
  1. Recognize the natural logarithm log(x).
  2. Apply the rule: d/dx log(x) = 1/x.
  3. Final answer: 2*(6+x^2)^(-1)*x
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Derivative of ln(x^2+6) = 2*(6+x^2)^(-1)*x Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-lnx-minus-to-minus-the-minus-2-minus-plus-minus-6

How to find the derivative of ln(x^2+6)

To find the derivative of ln(x^2+6), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.