Derivative of x*e^x

Instant step-by-step solution for x*e^x

Solution

AI Explanation

Rule used: Product Rule.

Step-by-Step

Graph

Derivative of x*e^x

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

How to find the derivative of x*e^x

To find the derivative of x*e^x, we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.