Problem XII.2 k n (a) Show that the function g(x) = =Ě (4) x» satisfies n n=0 = kg(x) g'(x) = x - 1
Posted: Tue May 10, 2022 5:11 pm
Problem XII.2 k n (a) Show that the function g(x) = =Ě (4) x» satisfies n n=0 = kg(x) g'(x) = x - 1<x< 1. 1+2 (b) Show that the function h(x) = (1 + x) *g(x) satisfies h'(x) = 0. (c) Conclude that g(x) = (1 + x)k. = -
Posted: Tue May 10, 2022 5:11 pm
Problem XII.2 k n (a) Show that the function g(x) = =Ě (4) x» satisfies n n=0 = kg(x) g'(x) = x - 1<x< 1. 1+2 (b) Show that the function h(x) = (1 + x) *g(x) satisfies h'(x) = 0. (c) Conclude that g(x) = (1 + x)k. = -