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 $\displaystyle f$ and $\displaystyle g$ be twice differentiable functions such that $\displaystyle f'(x) is greater than 0$ for all $\displaystyle x$ in the domain of $\displaystyle f$.

If $\displaystyle h(x)= f(g'(x))$ and $\displaystyle h'(3)=-2$, 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 $\displaystyle f$ is differentiable at $\displaystyle x=a$, which of the following could be **false**?

A. $\displaystyle f$ is continuous at x=a

B. Limit as x approaches a $\displaystyle (f(x)-f(a))/(x-a)$ Exists

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

D. f'(a) is defined

E. f''(a) is defined