# Source of conceptual, multiple choice calculus questions

I'd like to give my Calculus 1 class periodic multiple choice questions that really test conceptual understanding. Ideally, I'd like these questions to require very little computation. I know that a lot of textbooks have true false questions, which I like, but I'm hoping to find a source of questions with more than two possible answers. Something along the following lines:

Suppose that $$f(x)$$ and $$g(x)$$ are such that $$f'(x)>g'(x)$$ for all real $$x$$. Which of the following statements must be true?

1. The graphs of $$f$$ and $$g$$ intersect exactly once.
2. The graphs of $$f$$ and $$g$$ intersect no more than once.
3. The graphs of $$f$$ and $$g$$ do not intersect.
4. The graphs of $$f$$ and $$g$$ may intersect any number of times.

For a student who understands the derivative well, this question could be answered in under one minute with absolutely no computations.

Anyone know of a good source to find a bank of such questions? It would be ideal if the TeX code was available too, or if the problems were already encoded into WeBWorK or some other online homework system.

• You might want to add a continuity condition to your example. :) – mweiss Feb 28 '16 at 2:31
• @mweiss: For brevity's sake I wasn't completely explicit, but implicit in the statement that $f'(x)>g'(x)$ for all real $x$ is the fact that both $f$ and $g$ are differentiable on the reals, and thus continuous. – Jared Feb 28 '16 at 5:30