How to Find the Derivative of a Trigonometric Function?

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SUMMARY

The discussion focuses on finding the derivative of the function f(x) = SQRT[X]TAN[X] + 2X / (SIN[X] + COS[X]) at the point x = π/4. Participants emphasize the necessity of applying the product rule and quotient rule, along with the derivatives of trigonometric functions. The solution requires a solid understanding of these calculus concepts to derive f'(π/4) accurately.

PREREQUISITES
  • Understanding of the product rule in calculus
  • Familiarity with the quotient rule in calculus
  • Knowledge of derivatives of trigonometric functions
  • Basic algebraic manipulation skills
NEXT STEPS
  • Review the product rule and quotient rule in calculus
  • Practice finding derivatives of trigonometric functions
  • Explore examples of composite functions involving trigonometric and algebraic expressions
  • Study the application of derivatives in real-world problems
USEFUL FOR

Students studying calculus, particularly those learning about derivatives of trigonometric functions, and educators looking for examples to illustrate these concepts.

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Homework Statement



if f(x) = SQRT[X]TAN[X] + 2X / SIN[X]+COS[X]
Find f`(pi/4)

Homework Equations



doon't know

The Attempt at a Solution

 
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Are you familiar with the product rule and the quotient rule and the derivatives of trigonometric functions? If you are, just apply what you know, and show us an attempt. If you aren't, then read your textbook.
 

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