Derivative of x^4
Answer
4*x^3
Derivative of x^4
- Rule Used
- Power Rule
- Steps
- Apply the power rule: () = . The exponent counts how many factors of x are multiplied, so one factor is lost and the count moves in front.
- Simplify the exponent:
- Final answer:
The derivative of x^4 is 4*x^3.
Instant step-by-step solution for x^4
Share this result
Derivative of x^4 = 4*x^3 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-x-minus-to-minus-the-minus-4
How to find the derivative of x^4
To find the derivative of x^4, we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
Practice More Problems
Derivative of e^(-x)
Solve d/dx e^(-x)
Derivative of e^x
Solve d/dx e^x
Derivative of ln(2x)
Solve d/dx ln(2x)
Derivative of ln(x)
Solve d/dx ln(x)
Derivative of -x
Solve d/dx -x
Derivative of x^(1/2)
Solve d/dx x^(1/2)
Derivative of sec(x)
Solve d/dx sec(x)
Derivative of sin(2x)
Solve d/dx sin(2x)
Derivative of sin(x)^2
Solve d/dx sin(x)^2
Frequently Asked Questions
What is the derivative of x^4?▼
The derivative of x^4 is 4*x^3.
How do you find the derivative of x^4?▼
Apply the standard differentiation rules — the key rule used here is the Power Rule. The step-by-step result is 4*x^3.
Why is the derivative of x^4 equal to 4*x^3?▼
Because differentiation measures how a function changes — applying the rules to x^4 yields 4*x^3. See the full step-by-step breakdown above.