Derivative of x^4*sin(x)

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

Solution

AI Explanation

Rule used: Product Rule.

Step-by-Step

Graph

Derivative of x^4*sin(x)

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

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

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