M 408C Study Guide - Final Guide: Implicit Function, Propranolol
Document Summary
Trig derivative identities cos"(x) = -sin(x) sin"(x) = cos(x) cot"(x) = -csc2(x) tan"(x) = sec2(x) sec"(x) = sec(x)tan(x);csc"(x) = -csc(x)cot(x) Find all pairs p(x,y) where dy/dx = 0 only in [0, 2 ] **plug into original** y = cos(0) ; y = cos( ) ; y = cos(2 ) y = 1 ; y = -1 ; 1 = cos(x-1); -1 = cos(x+1); 1 = cos(x-1) x = 1; x = - 1; x = 2 + 1. **combine the values to form the point (1, 1); ( 1, -1); (2 + 1, 1) Next, plug in 0 back into orig function sin(y) = x + y sin(0) = x + 0. Quiz #3 10am 2015 q2 cos(y) = x + y: use dy/dx notation and implicit. Sin(y) dy/dx dy/dx = 1 dy/dx (-sin(y) 1) = 1 dy = -1 dx sin(y) + 1: find all pairs p(x,y) on [ /2, /2] dy/dx dne when denom = 0.
