100 likes | 135 Views
Ch.5 Limits & Derivatives. Theorems on limits of functions. a. b. c. d. e. f. Ch.5 Limits & Derivatives. Limits of a Polynomial Function. If. is a polynomial function,. then. Ch.5 Limits & Derivatives. Evaluation of Limits. Case 1 Constant. Case 2 Zero.
E N D
Ch.5 Limits & Derivatives Theorems on limits of functions a. b. c. d. e. f.
Ch.5 Limits & Derivatives Limits of a Polynomial Function If is a polynomial function, then
Ch.5 Limits & Derivatives Evaluation of Limits Case 1Constant Case 2Zero Case 3Does not exist /
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
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)
Ch.5 Limits & Derivatives Some important limits of function
Ch.5 Limits & Derivatives Derivatives of Functions
Ch.5 Limits & Derivatives Derivatives of Functions -first principles
Ch.5 Limits & Derivatives Derivatives of Functions Geometric Interpretation: gradient of tangent