Hello there,can you help me with this question,

Question: Find the given limit by evaluating the derivative of a suitable function at an appropriate point

Hint: Let h = x - 1

lim (x^5 - 1 / x - 1) as x approaches 1

I compared it to the definition of f'(a) = lim [f(x+h) - f(x)] / h as h approach 0,

and got f(x) = x^5

and then the derivative would be f'(x) = 5x^4,

I actually don't understand what are we looking for.