Derivative of tan(x)^4

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

Solution

AI Explanation

Rule used: Chain Rule.

Step-by-Step

Graph

Derivative of tan(x)^4

Answer
4*sec(x)^2*tan(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*sec(x)^2*tan(x)^3
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Derivative of tan(x)^4 = 4*sec(x)^2*tan(x)^3 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-tanx-minus-to-minus-the-minus-4

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

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