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Mastering Limits and Derivatives: Understanding Functions and Theorems

Explore limits and derivatives of functions, including important theorems, evaluation techniques, cases, and geometric interpretations.

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Mastering Limits and Derivatives: Understanding Functions and Theorems

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  1. Ch.5 Limits & Derivatives Theorems on limits of functions a. b. c. d. e. f.

  2. Ch.5 Limits & Derivatives Limits of a Polynomial Function If is a polynomial function, then

  3. Ch.5 Limits & Derivatives Evaluation of Limits Case 1Constant Case 2Zero Case 3Does not exist /

  4. Ch.5 Limits & Derivatives Case 4Indeterminate form Step 1 (a) Cancel common factors  or (b) Rationalizing the denominator or (c) Reducing the function to lowest form Step 2 Apply theorems on Limits of Function

  5. Ch.5 Limits & Derivatives Step 1 (a) Cancel common factors  or (b) Rationalizing the denominator or (c) Reducing the function to lowest form (i) (ii)

  6. Ch.5 Limits & Derivatives Some important limits of function

  7. Ch.5 Limits & Derivatives Derivatives of Functions

  8. Ch.5 Limits & Derivatives Derivatives of Functions －first principles

  9. Ch.5 Limits & Derivatives Derivatives of Functions Geometric Interpretation： gradient of tangent

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