Derivative of x^2*e^x
- Answer
- 2*e^x*x+e^x*x^2
- Rule Used
- Product Rule
- Steps
- Identify a product of two functions: use the product rule (uv)' = u'v + uv'.
- Differentiate each factor and combine.
- Final answer: 2*e^x*x+e^x*x^2
Share this result
Derivative of x^2*e^x = 2*e^x*x+e^x*x^2 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-x-minus-to-minus-the-minus-2e-minus-to-minus-the-minus-x
How to find the derivative of x^2*e^x
To find the derivative of x^2*e^x, 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)