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2.3 Rewriting and Trig Functions

This guide provides a comprehensive approach to differentiating trigonometric functions through rewriting techniques. Learn to effectively apply derivative formulas, simplify expressions, and ensure accuracy with the product rule. This resource also emphasizes the importance of verifying equal derivatives across various functions, illustrating the relationship between f'(x) and g'(x). Ideal for students seeking to strengthen their calculus skills, this guide will enhance your understanding of trig function derivatives and their applications.

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2.3 Rewriting and Trig Functions

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  1. 2.3 Rewriting and Trig Functions

  2. Rewriting • Differentiate using rewriting:

  3. Answer • Rewrite, differentiate, simplify

  4. Derivative of trig functions • Derivative formulas

  5. Derivative • Evaluate the derivative of

  6. Answer • Use product rule

  7. Verify derivatives are equal for different functions • Verify f’(x)=g’(x) for

  8. Answer • Take both derivatives

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