Derivative of tan(x)^3
Answer
3*sec(x)^2*tan(x)^2
Derivative of tan(x)^3
- 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)^2
The derivative of tan(x)^3 is 3*sec(x)^2*tan(x)^2.
Instant step-by-step solution for tan(x)^3
Share this result
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.
Practice More Problems
Derivative of 1/x
Solve d/dx 1/x
Derivative of 1/x^2
Solve d/dx 1/x^2
Derivative of 10^x
Solve d/dx 10^x
Derivative of 2^x
Solve d/dx 2^x
Derivative of 2x
Solve d/dx 2x
Derivative of 3x^2
Solve d/dx 3x^2
Derivative of 5x
Solve d/dx 5x
Derivative of Abs(x)
Solve d/dx Abs(x)
Derivative of acos(x)
Solve d/dx acos(x)
Derivative of asin(x)
Solve d/dx asin(x)
Frequently Asked Questions
What is the derivative of tan(x)^3?▼
The derivative of tan(x)^3 is 3*sec(x)^2*tan(x)^2.
How do you find the derivative of tan(x)^3?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 3*sec(x)^2*tan(x)^2.
Why is the derivative of tan(x)^3 equal to 3*sec(x)^2*tan(x)^2?▼
Because differentiation measures how a function changes — applying the rules to tan(x)^3 yields 3*sec(x)^2*tan(x)^2. See the full step-by-step breakdown above.