# True/false questions

IntegrateMe
After a long series of true/false questions from my calculus book, I'm left with three I don't really understand. Anyone care to explain them to me?

A) If f and g are differentiable increasing functions and g(x) is never equal to 0, then the function h(x) = f(x)/g(x) is also a differentiable increasing function.

B) If a function is period with period c, then so is its derivative.

C) If C(q) represents the cost of producing a quantity q of good, then C'(0) represents the fixed costs.

Staff Emeritus
Gold Member
When you post a question about a textbook-style problem, you're expected to show some of your own work. In this case, you should have told us what you have tried so far.

A) I don't see a way to give you a hint without telling you too much. What have you tried so far?
B) You're supposed to find out if the following is true: If f(x+c)=f(x) for all x, then f'(x+c)=f'(x) for all x. What do you get if you use the definition of the derivative to rewrite f'(x+c)?
C) How do you define "fixed costs"?

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IntegrateMe
In part C, "fixed costs" is what most tripped me up, I have no idea what that means...

Staff Emeritus