Question: Let f ( x ) be differentiable at every value of x and suppose that f ( 1 ) = 1 , that f '

Let f(x) be differentiable at every value of x and suppose that f(1)=1, that f'0 on (-,1) and that f'>0 on (1,).
(a) Show that f(x)1 for all x.
(b) Must f'(1)=0? Give reasons for your answer.
Let f ( x ) be differentiable at every value of x

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