Derivative of sin(ln(x))

Instant step-by-step solution for sin(ln(x))

Solution

AI Explanation

Rule used: Chain Rule.

Step-by-Step

Graph

Derivative of sin(ln(x))

Answer
cos(log(x))*x^(-1)
Rule Used
Chain Rule
Steps
  1. Identify a composite function: use the chain rule d/dx f(g(x)) = f'(g(x))·g'(x).
  2. Differentiate the outer function, then multiply by the inner derivative.
  3. Final answer: cos(log(x))*x^(-1)
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Derivative of sin(ln(x)) = cos(log(x))*x^(-1) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-sinlnx

How to find the derivative of sin(ln(x))

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