Derivative of cos(x^4)

Instant step-by-step solution for cos(x^4)

Solution

AI Explanation

Rule used: Chain Rule.

Step-by-Step

Graph

Derivative of cos(x^4)

Answer
-4*sin(x^4)*x^3
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: -4*sin(x^4)*x^3
Share this result

Derivative of cos(x^4) = -4*sin(x^4)*x^3 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-cosx-minus-to-minus-the-minus-4

How to find the derivative of cos(x^4)

To find the derivative of cos(x^4), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.