Derivative of sin(x^7)

Instant step-by-step solution for sin(x^7)

DerivativeTrigonometricIntermediate

Solution

AI Explanation

Rule used: Chain Rule.

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Derivative of sin(x^7)

Answer
7*cos(x^7)*x^6
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: 7*cos(x^7)*x^6
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Derivative of sin(x^7) = 7*cos(x^7)*x^6 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-sinx-minus-to-minus-the-minus-7

How to find the derivative of sin(x^7)

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

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