Derivative of tan(3*x)*sec(3*x)

Instant step-by-step solution for tan(3*x)*sec(3*x)

Solution

AI Explanation

Rule used: Product Rule.

Step-by-Step

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Derivative of tan(3*x)*sec(3*x)

Answer
3*sec(3*x)*tan(3*x)^2+3*sec(3*x)^3
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: 3*sec(3*x)*tan(3*x)^2+3*sec(3*x)^3
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Derivative of tan(3*x)*sec(3*x) = 3*sec(3*x)*tan(3*x)^2+3*sec(3*x)^3 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-tan3xsec3x

How to find the derivative of tan(3*x)*sec(3*x)

To find the derivative of tan(3*x)*sec(3*x), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.