Derivative of x*cos(x)

Instant step-by-step solution for x*cos(x)

Solution

AI Explanation

Rule used: Product Rule.

Step-by-Step

Graph

Derivative of x*cos(x)

Answer
-sin(x)*x+cos(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: -sin(x)*x+cos(x)
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Derivative of x*cos(x) = -sin(x)*x+cos(x) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-x-cos-x

How to find the derivative of x*cos(x)

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