Using the given table, evaluate the expression. You may assume that f(x) and g(x) are continuous functions.
[
egin{array}{|c|c|c|c|c|c|c|}
hline
x & 2 & 3 & 4 & 7 & 12 & 16 \
hline
f(x) & 10 & 8 & 9 & -3 & -9 & -13 \
hline
g(x) & -1 & 0 & 20 & 19 & 7 & -3 \
hline
f'(x) & -15 & 10 & -19 & 20 & -6 & 9 \
hline
g'(x) & -1 & 12 & -16 & -18 & 15 & -13 \
hline
end{array}
]
A. (h'(2)), where (h(x)=x^2f(x)).
(h'(2)=)
B. (c'(12)), where (c(x)=f(g(x))).
(c'(12)=)
C. (n'(4)), where (n(x)=sqrt{f(x)}).
(n'(4)=)
D. (lim_{x o3}frac{f(x)cdot g(x)}{x^3-27})
The limit exists, (lim_{x o3}frac{f(x)cdot g(x)}{x^3-27}=)