MATH 1009 Midterm: Test 3 2016 Fall Solutions
Document Summary
October 2016 (cid:19)5 (cid:18) 2x (cid:19) (cid:18)2(x + 1) 2x(1) x + 1 (x + 1)2. [5 marks] find the derivative of the function f (x) = (cid:18) 2x (cid:19)4 x + 1. 10 24 x4 (x + 1)6 = x + 1. [ 6 marks] use implicit di erentiation to nd dy dx if x2 + 4xy + y3 = 7. 2x + 4 1 y + 4x dy dx. [ 12 marks] the quantity demanded each week x is related to the unit price p by the. 3. demand equation x = f (p) = (0 < p < 80). The elasticity of demand is given by the formula e(p) = p f(cid:48)(p) f (p) Thus, e(p) = p f(cid:48)(p) f (p) < 1, so the demand is inelastic when p = 40. > 1, so the demand is elastic when p = 60. [ 11 marks] state the domain of each function given below.
