Let and . Then the set of satisfying…

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Let f(x)=x+3log⁡(x−2)f(x)=x+3\log(x-2) and g(x)=x+5log⁡(x−1)g(x)=x+5\log(x-1). Then the set of xx satisfying f′(x)<g′(x)f'(x)<g'(x) is (1) (2,7/2)(2,7/2) (2) (1,2)∪(7/2,∞)(1,2)\cup(7/2,\infty) (3) (2,∞)(2,\infty) (4) (7/2,∞)(7/2,\infty)

Related theory

Browse the problem library