Derivative of sin(x^10)

Instant step-by-step solution for sin(x^10)

Solution

AI Explanation

Rule used: Chain Rule.

Step-by-Step

Graph

Derivative of sin(x^10)

Answer
10*cos(x^10)*x^9
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: 10*cos(x^10)*x^9
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Derivative of sin(x^10) = 10*cos(x^10)*x^9 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-sinx-minus-to-minus-the-minus-10

How to find the derivative of sin(x^10)

To find the derivative of sin(x^10), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.