Derivative of e^(x^2)
- Answer
- 2*e^x^2*x
- Rule Used
- Exponential Rule
- Steps
- Recognize the exponential function.
- Apply the rule: d/dx e^(f(x)) = f'(x)·e^(f(x)).
- Final answer: 2*e^x^2*x
Share this result
Derivative of e^(x^2) = 2*e^x^2*x Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-e-minus-to-minus-the-minus-x-minus-to-minus-the-minus-2
How to find the derivative of e^(x^2)
To find the derivative of e^(x^2), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
Practice More Problems
Derivative of 1/sqrt(1-x^2)
Solve d/dx 1/sqrt(1-x^2)
Derivative of 1/sqrt(10-x^2)
Solve d/dx 1/sqrt(10-x^2)
Derivative of 1/sqrt(2-x^2)
Solve d/dx 1/sqrt(2-x^2)
Derivative of 1/sqrt(3-x^2)
Solve d/dx 1/sqrt(3-x^2)
Derivative of 1/sqrt(4-x^2)
Solve d/dx 1/sqrt(4-x^2)
Derivative of 1/sqrt(5-x^2)
Solve d/dx 1/sqrt(5-x^2)
Derivative of 1/sqrt(6-x^2)
Solve d/dx 1/sqrt(6-x^2)
Derivative of 1/sqrt(7-x^2)
Solve d/dx 1/sqrt(7-x^2)
Derivative of 1/sqrt(8-x^2)
Solve d/dx 1/sqrt(8-x^2)
Derivative of 1/sqrt(9-x^2)
Solve d/dx 1/sqrt(9-x^2)