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## Homework Statement

The function h is differentiable, and for all values of x, h(x)=h(2-x) Which of the following statements must be true?

1. Integral (from 0 to 2) h(x) dx >0

2. h'(1)=0

3.h'(0)=h'(2)=1

A. 1 only

B.2 only

C. 3 only

D. 2 &3 only

E. 1,2 &3

## Homework Equations

None that I am aware of

## The Attempt at a Solution

If h(x) = h(2-x) then h'(x) must also = h'(2-x)

Therefore, when x=0, h'(0)=h'(2)

However, we cannot say for sure that both = 1. Thus I eliminate any options with '3'.

Have been stuck here for a while, please help.