I'm just having a bit of trouble with this one question. I'm trying to follow my teacher's notes but I don't have an example like it, so it's a little difficult for me.
Here's the question:
Find the critical numbers of the function. (Enter your answers as fractions.) F(x) = x4/5(x - 1)2
Here's what I've got so far:
f'(x) = 4/5x^-1/5 * (x-1)^2 - x^4/5
f'(x) = x^-1/5 (4/5(x-1)^2 -x^3/5)
f'(x) = x^-1/5 (4/5(x^2-2x+1) - x^3/5)
f'(x) = x^-1/5 (4/5x^2 - 13/5x^3/5 + 4/5) I combined the -8/5x with -x^3/5
I don't think I'm doing this right, however. A little bit of guidance would be appreciated?