Find the value of g(2) when f, g are differentiable functions such that (fg)'(x) = f'(x)g(x) , f(x) gt; 0 , for all x, while g(0) = 4 .

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1.Find the value of g(2) when f, g are differentiable functions such that (fg)'(x) = f'(x)g(x) , f(x) > 0 , for all x, while g(0) = 4 .2. Determine if the function f(x) = 3x + x^2/3 (2 – x)^1/3 satisfies the hypotheses of the MVT on the interval [0, 2]. If it does, find all possible values of c that satisfy the conclusion of the MVT. (MVT is Mean value theorem)

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