I know to find the critical numbers you'd find the first derivative and solve for where it is 0, but I just can't get the right answer for this one
f(x)= x^(1/5) - x^(-4/5)
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what did you get for the derivative? maybe the problem is in what you got.
f'(x) = 1/[5x^(4/5)] + 4/[5x^(9/5)]
what did you do when you set that equal to zero?
First I factored out 1/5x^4/5
So I had: 1/[5x^(4/5)] x (1 + 4/x)
Then I set that to 0, but the first part is never zero so I just solved for where 1 + 4/x is 0 and got -4. Shouldn't that be the right answer?
What is the given answer? Because as far as I can tell, having checked, and having checked again, there's no problem with your work, unless I'm missing something.
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