MATH 1190 Lecture Notes - Lecture 11: Implicit Function, Power Rule
23 Sep 2016
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Math 1190: 3. 2 implicit differentiation / power rule / derivative of inverse functions, example 1 a. i. This would graph as a circle with a radius of 2 (notably it is not a function) a. i. 1. This is actually two equations, a positive and negative, that graphs as the top and bottom of the circle a. ii. How would you find the derivative of the entire circle? b. Assume that y is differentiable in respect to x and differentiate both sides of the equation b. ii. Example 2 b. ii. 1. b. ii. 1. a. b. ii. 1. b. b. ii. 1. c. b. ii. 1. d: more powerful power rule c. i. c. ii. Chun 2 c. ii. 1. a. ii: derivatives of inverse functions: d. i. Assuming g is the inverse of the function f d. i. 1. g(f(x)) = x d. i. 1. a. d. i. 1. b. d. i. 1. c. d. ii. Need to translate = f(x) into an x value d. ii. 1. a. i. 1. d. ii. 1. a. i. 1. a. x = / 6 d. ii. 1. b. d. ii. 1. b. i. d. ii. 1. c. d. ii. 1. d. d. ii. 1. e. d. ii. 1. f: derivatives of trig function: e. i.
