Derivative of ln(x^2+9)
Answer
2*(9+x^2)^(-1)*x
Derivative of ln(x^2+9)
- Rule Used
- Chain Rule
- Steps
- Identify a composite function in : use the chain rule = f'(g(x))·g'(x). The inner derivative is required because a stretch or shift of the input changes how fast the output moves.
- Differentiate the outer function, then multiply by the inner derivative.
- Final answer: 2*(9+)^(-1)*x
The derivative of ln(x^2+9) is 2*(9+x^2)^(-1)*x.
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Derivative of ln(x^2+9) = 2*(9+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-9
How to find the derivative of ln(x^2+9)
To find the derivative of ln(x^2+9), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
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Frequently Asked Questions
What is the derivative of ln(x^2+9)?▼
The derivative of ln(x^2+9) is 2*(9+x^2)^(-1)*x.
How do you find the derivative of ln(x^2+9)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 2*(9+x^2)^(-1)*x.
Why is the derivative of ln(x^2+9) equal to 2*(9+x^2)^(-1)*x?▼
Because differentiation measures how a function changes — applying the rules to ln(x^2+9) yields 2*(9+x^2)^(-1)*x. See the full step-by-step breakdown above.