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

h'(x) = f'[g'(x)] g''(x) h'(3) = f'[g'(3)] g''(3) -2 = (some positive value) g''(3) what sign does g''(3) have to have? and what does that tell you about g(x)?
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**?

this is really basic ... you need to check your text/notes on what it means for a function to be differentiable at point.
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