Derivative of e^(4*x)+x^5

Instant step-by-step solution for e^(4*x)+x^5

Solution

AI Explanation

Rule used: Product Rule.

Step-by-Step

Graph

Derivative of e^(4*x)+x^5

Answer
4*e^(4*x)+5*x^4
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: 4*e^(4*x)+5*x^4
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Derivative of e^(4*x)+x^5 = 4*e^(4*x)+5*x^4 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-e-minus-to-minus-the-minus-4x-minus-plus-minus-x-minus-to-minus-the-minus-5

How to find the derivative of e^(4*x)+x^5

To find the derivative of e^(4*x)+x^5, we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.