Derivative of tan(x)^7

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

Solution

AI Explanation

Rule used: Chain Rule.

Step-by-Step

Graph

Derivative of tan(x)^7

Answer
7*sec(x)^2*tan(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*sec(x)^2*tan(x)^6
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Derivative of tan(x)^7 = 7*sec(x)^2*tan(x)^6 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-tanx-minus-to-minus-the-minus-7

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

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