Question: Let g be a continuous function on (- , ) such that g has a corner at x = -1 and x = 2, and

Let g be a continuous function on (- , )

such that g has a corner at x = -1 and x = 2, and g'(x) 1 for x -1, 2

Consider the function f defined below:

f(x)g(x)2123cos2(x)x0x>0

Assume f is not differentiable at x = 0.

Find all critical numbers of f on the interval [-2, 2 ]

Please Provide A Well Though Description / Answer

Thank you!

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