Derivative of x*e^(13*x)

Instant step-by-step solution for x*e^(13*x)

Solution

AI Explanation

Rule used: Product Rule.

Step-by-Step

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Derivative of x*e^(13*x)

Answer
13*e^(13*x)*x+e^(13*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: 13*e^(13*x)*x+e^(13*x)
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Derivative of x*e^(13*x) = 13*e^(13*x)*x+e^(13*x) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-xe-minus-to-minus-the-minus-13x

How to find the derivative of x*e^(13*x)

To find the derivative of x*e^(13*x), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.