Derivative of sin(9*x)+cos(5*x)

Instant step-by-step solution for sin(9*x)+cos(5*x)

Solution

AI Explanation

Rule used: Product Rule.

Step-by-Step

Graph

Derivative of sin(9*x)+cos(5*x)

Answer
-5*sin(5*x)+9*cos(9*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: -5*sin(5*x)+9*cos(9*x)
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Derivative of sin(9*x)+cos(5*x) = -5*sin(5*x)+9*cos(9*x) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-sin9x-minus-plus-minus-cos5x

How to find the derivative of sin(9*x)+cos(5*x)

To find the derivative of sin(9*x)+cos(5*x), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.