Derivative of tan(x)^6
Answer
6*sec(x)^2*tan(x)^5
Derivative of tan(x)^6
- Rule Used
- Chain Rule
- Steps
- Identify a composite function in : use the chain rule = f'(g(x))·g'(x). The inner derivative is required because a stretch or shift of the input changes how fast the output moves.
- Differentiate the outer function, then multiply by the inner derivative.
- Final answer: ec(x)^an(x)^5
The derivative of tan(x)^6 is 6*sec(x)^2*tan(x)^5.
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Derivative of tan(x)^6 = 6*sec(x)^2*tan(x)^5 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-tanx-minus-to-minus-the-minus-6
How to find the derivative of tan(x)^6
To find the derivative of tan(x)^6, we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
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Frequently Asked Questions
What is the derivative of tan(x)^6?▼
The derivative of tan(x)^6 is 6*sec(x)^2*tan(x)^5.
How do you find the derivative of tan(x)^6?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 6*sec(x)^2*tan(x)^5.
Why is the derivative of tan(x)^6 equal to 6*sec(x)^2*tan(x)^5?▼
Because differentiation measures how a function changes — applying the rules to tan(x)^6 yields 6*sec(x)^2*tan(x)^5. See the full step-by-step breakdown above.