Derivative of tan(x)^5
- Answer
- 5*sec(x)^2*tan(x)^4
- Rule Used
- Chain Rule
- Steps
- Identify a composite function: use the chain rule d/dx f(g(x)) = f'(g(x))·g'(x).
- Differentiate the outer function, then multiply by the inner derivative.
- Final answer: 5*sec(x)^2*tan(x)^4
Share this result
Derivative of tan(x)^5 = 5*sec(x)^2*tan(x)^4 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-tanx-minus-to-minus-the-minus-5
How to find the derivative of tan(x)^5
To find the derivative of tan(x)^5, we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
Practice More Problems
Derivative of 1/sqrt(1-x^2)
Solve d/dx 1/sqrt(1-x^2)
Derivative of 1/sqrt(10-x^2)
Solve d/dx 1/sqrt(10-x^2)
Derivative of 1/sqrt(2-x^2)
Solve d/dx 1/sqrt(2-x^2)
Derivative of 1/sqrt(3-x^2)
Solve d/dx 1/sqrt(3-x^2)
Derivative of 1/sqrt(4-x^2)
Solve d/dx 1/sqrt(4-x^2)
Derivative of 1/sqrt(5-x^2)
Solve d/dx 1/sqrt(5-x^2)
Derivative of 1/sqrt(6-x^2)
Solve d/dx 1/sqrt(6-x^2)
Derivative of 1/sqrt(7-x^2)
Solve d/dx 1/sqrt(7-x^2)
Derivative of 1/sqrt(8-x^2)
Solve d/dx 1/sqrt(8-x^2)
Derivative of 1/sqrt(9-x^2)
Solve d/dx 1/sqrt(9-x^2)