Derivative of 2x^2
Answer
4*x
Derivative of 2x^2
- Rule Used
- Constant Multiple Rule
- Steps
- is a constant times a function of x. The constant is a fixed stretch of the slope, so it factors out and the remaining function is differentiated.
- Final answer:
The derivative of 2*x^2 is 4*x.
Instant step-by-step solution for 2x^2
Share this result
Derivative of 2x^2 = 4*x Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-2x-minus-to-minus-the-minus-2
How to find the derivative of 2x^2
To find the derivative of 2x^2, we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
Practice More Problems
Derivative of 3x^2
Solve d/dx 3x^2
Derivative of 5x
Solve d/dx 5x
Derivative of 1-x
Solve d/dx 1-x
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 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 2x^2?▼
The derivative of 2x^2 is 4*x.
How do you find the derivative of 2x^2?▼
Apply the standard differentiation rules — the key rule used here is the Constant Multiple Rule. The step-by-step result is 4*x.
Why is the derivative of 2x^2 equal to 4*x?▼
Because differentiation measures how a function changes — applying the rules to 2x^2 yields 4*x. See the full step-by-step breakdown above.