Question 4
The use of a graphing calculator is NOT allowed.
Suppose the ƒ(0) = 3 and ƒ' is the function shown in the graph.
Let g(x) = (x2 + 1)•ƒ(x)
(a) Evaluate g'(0).
(b) Is g increasing at x = 1? Justify.
(c) Estimate g''(0).
(d) Is g concave up at x = 1? Justify.
Solution
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