MATH 1190 Lecture Notes - Lecture 13: Product Rule
6 Oct 2016
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3. 4 newton"s method & common mistakes: review (common mistakes to keep in mind for upcoming test) a. b. Inverse tan mistakes b. i. b. ii. b. iii. c: when to use, or not to use the product rule d. i. Bob is the argument of the log function! d. ii. This is the same as: newton"s method (3. 4) a. If f is continuous on [a,b] and n is between f(a) and f(b) then there is some c, in the interval (a,b), such that f(c) = n a. ii. Check if one endpoint is positive and one is negative (that is, check to see if they fulfil the intermediate value theorem) Pick an arbitrary point between a and b (a and b being the endpoints or range that we are considering) b. iii. Find the derivative of the arbitrary point (let"s call this point for simplicity) and follow the derivative line down to the x-axis b. iv.
