Question

For the function $f(x) = (x - 1)^{frac{4}{5}}$: (a) Find the critical numbers of $f$ (if any); (b) Find the open intervals where the function is increasing or decreasing; and (c) Apply the First Derivative Test to identify all relative extrema. Use a graphing utility to confirm your results.

          For the function $f(x) = (x - 1)^{frac{4}{5}}$:
(a) Find the critical numbers of $f$ (if any);
(b) Find the open intervals where the function is increasing or decreasing; and
(c) Apply the First Derivative Test to identify all relative extrema.
Use a graphing utility to confirm your results.

$For the function f(x) = (x - 1)^frac45: (a) Find the critical numbers of f (if any); (b) Find the open intervals where the function is increasing or decreasing; and (c) Apply the First Derivative Test to identify all relative extrema. Use a graphing utility to confirm your results.$