2. The table below gives values for differentiable functions Æ’ and g. Use the values to complete
parts (a)-(d).
X
-3
-2
-1
0
1
2
3
f(x)
3
2
1
-1
7
1
2
f'(x)
-1
-1
4
2
1
-2
3
g(x)
-3
-2
2
1
-1
-2
1
g'(x)
1
-1
-2
-3
-2
-1
2
(a) (2 points) If h(x) =
g(x)'
f(x), find h'(1).
(b) (3 points) If j(x) =
x2
f(x)g(x), find j'(-2).
(c) (3 points) If k(x) = [f(x)]³ g(x), find k'(0).
(d) (3 points) If m(x) = log10(f(x)), find m'(3).