Question: 42. Fixed Points A number a is called a fixed point of a func- tion f if f(a) = a. Prove that if f'(x) #

 42. Fixed Points A number a is called a fixed point

of a func- tion f if f(a) = a. Prove that if

42. Fixed Points A number a is called a fixed point of a func- tion f if f(a) = a. Prove that if f'(x) # 1 for all real num- bers x, then f has at most one fixed point

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