Question

f (x) = x^2, [4, 5]

If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that
f '(c) = f (b) − f (a)/b − a

answers as a comma-separated list.

Answer 1

well, what's the problem?

f(5)-f(4) = 25-16 = 9
5-4 = 1

f' = 2x
so, where does 2x = 9?

Answer 2

4.5 or 9/2 thnks for some reason I forgot to put 2x I kept doing x=9! thank you :)