Question

find all relative extrema of the function f(x)=x^(4/5)-1. use the second derivative test where applicable

Answer 1

So the first step is to differentiate the function. That is the method for determining the relative extrema. Can you take the first derivative of f(x)?

Answer 2

um its \[\frac{ 5 }{ 6 } x ^{6/5}\]?

Answer 3

Are you starting with the following?\[f(x)=x^{4/5}-1\]

Answer 4

yes

Answer 5

Okay. Well that's incorrect. I'm not quite sure what you did. To me it appears you just increased the numbers by 1 and then multiplied that fraction down in front, so I think you might be a bit confused about taking a derivative.

To take the derivative: