Derivative of tan(x)^3

Instant step-by-step solution for tan(x)^3

Solution

AI Explanation

Rule used: Chain Rule.

Step-by-Step

Graph

Derivative of tan(x)^3

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

How to find the derivative of tan(x)^3

To find the derivative of tan(x)^3, we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.