How many critical numbers are there for f(x) = (x-1)^7

a) 1

b) 5

c) 6

d) 7

I chose 1, am I correct?

Correct

f'(x) = 7 (x - 1)^6

Set to 0

7 ( x - 1)^6 = 0

(x - 1)^6 = 0

So....x = 1 is a critical number

x =1 is a critical number, but how many are there is the question.

Sorry, Julius.... I meant to say that x = 1 is the only critical number !!!