Let and be differentiable functions with the following properties:
I. f(x) < 0 for all x
If and , then
I started by taking the derivative of h(x) and set it equal to h'(x) but I cant seem to get g(x) by itself. Been working on it for hours, and can't seem to get it right. Anyone know how to solve this tricky problem?
Thank you for borth of your responses. I think where I got confused was whether or not g(x) had to be a function or a number, so at first I disregarded the second information.
Looking at it again, this problem seems so simple if I think of the right processes.