Derivative of x^(5/2)
Answer
(5/2)*x^(3/2)
Derivative of x^(5/2)
- Rule Used
- Power Rule
- Steps
- Identify the expression as a power function and apply the power rule. A rational exponent is allowed: ^(p/q) = (p/q)·.
- Final answer: (5/2)*
The derivative of x^(5/2) is (5/2)*x^(3/2).
Instant step-by-step solution for x^(5/2)
Share this result
Derivative of x^(5/2) = (5/2)*x^(3/2) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-x-minus-to-minus-the-minus-5-minus-over-minus-2
How to find the derivative of x^(5/2)
To find the derivative of x^(5/2), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
Practice More Problems
Derivative of sin(2x)
Solve d/dx sin(2x)
Derivative of sin(x)^2
Solve d/dx sin(x)^2
Derivative of sin(x)
Solve d/dx sin(x)
Derivative of sinh(x)
Solve d/dx sinh(x)
Derivative of sqrt(x)
Solve d/dx sqrt(x)
Derivative of tan(x)^2
Solve d/dx tan(x)^2
Derivative of tan(x)
Solve d/dx tan(x)
Derivative of tanh(x)
Solve d/dx tanh(x)
Derivative of x*cos(x)
Solve d/dx x*cos(x)
Derivative of x^3
Solve d/dx x^3
Frequently Asked Questions
What is the derivative of x^(5/2)?▼
The derivative of x^(5/2) is (5/2)*x^(3/2).
How do you find the derivative of x^(5/2)?▼
Apply the standard differentiation rules — the key rule used here is the Power Rule. The step-by-step result is (5/2)*x^(3/2).
Why is the derivative of x^(5/2) equal to (5/2)*x^(3/2)?▼
Because differentiation measures how a function changes — applying the rules to x^(5/2) yields (5/2)*x^(3/2). See the full step-by-step breakdown above.