Derivative of x^(1/5)
Answer
(1/5)*x^(-4/5)
Derivative of x^(1/5)
- 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: (1/5)*
The derivative of x^(1/5) is (1/5)*x^(-4/5).
Instant step-by-step solution for x^(1/5)
Share this result
Derivative of x^(1/5) = (1/5)*x^(-4/5) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-x-minus-to-minus-the-minus-1-minus-over-minus-5
How to find the derivative of x^(1/5)
To find the derivative of x^(1/5), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
Practice More Problems
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)
Derivative of atan(x)
Solve d/dx atan(x)
Derivative of cos(2x)
Solve d/dx cos(2x)
Derivative of cos(x)^2
Solve d/dx cos(x)^2
Derivative of cos(x)
Solve d/dx cos(x)
Frequently Asked Questions
What is the derivative of x^(1/5)?▼
The derivative of x^(1/5) is (1/5)*x^(-4/5).
How do you find the derivative of x^(1/5)?▼
Apply the standard differentiation rules — the key rule used here is the Power Rule. The step-by-step result is (1/5)*x^(-4/5).
Why is the derivative of x^(1/5) equal to (1/5)*x^(-4/5)?▼
Because differentiation measures how a function changes — applying the rules to x^(1/5) yields (1/5)*x^(-4/5). See the full step-by-step breakdown above.