Derivative of e^(3*x)*sin(4*x)

Instant step-by-step solution for e^(3*x)*sin(4*x)

Solution

AI Explanation

Rule used: Product Rule.

Step-by-Step

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Derivative of e^(3*x)*sin(4*x)

Answer
3*e^(3*x)*sin(4*x)+4*cos(4*x)*e^(3*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: 3*e^(3*x)*sin(4*x)+4*cos(4*x)*e^(3*x)
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Derivative of e^(3*x)*sin(4*x) = 3*e^(3*x)*sin(4*x)+4*cos(4*x)*e^(3*x) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-e-minus-to-minus-the-minus-3xsin4x

How to find the derivative of e^(3*x)*sin(4*x)

To find the derivative of e^(3*x)*sin(4*x), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.