AP Calculus Multiple Choice Questions- Help!

Hi Everyone, I need some help on a couple of these MC questions for AP Calc AB. Hopefully someone can give me pointers!!

1) Let and be twice differentiable functions such that for all in the domain of .

If and , then at x=3

A. h is concave down

B. g is decreasing

C. f is concave down

D. g is concave down

E. f is decreasing

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2. If is differentiable at , which of the following could be **false**?

A. is continuous at x=a

B. Limit as x approaches a Exists

C. Limit as x approaches a of f(x) exists

D. f'(a) is defined

E. f''(a) is defined