Derivative of sin(6*x)*cos(6*x)
Instant step-by-step solution for sin(6*x)*cos(6*x)
Derivative of sin(6*x)*cos(6*x)
- Answer
- -6*sin(6*x)^2+6*cos(6*x)^2
- Rule Used
- Product Rule
- Steps
- Identify a product of two functions: use the product rule (uv)' = u'v + uv'.
- Differentiate each factor and combine.
- Final answer: -6*sin(6*x)^2+6*cos(6*x)^2
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Derivative of sin(6*x)*cos(6*x) = -6*sin(6*x)^2+6*cos(6*x)^2 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-sin6xcos6x
How to find the derivative of sin(6*x)*cos(6*x)
To find the derivative of sin(6*x)*cos(6*x), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
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