Evaluate f at the critical points and the endpoints

Question

Question: The following:

(a) Find f' and f".

(b) Find the critical points of f.

(c) Find any inflection points.

(d) Evaluate f at the critical points and the endpoints. Identify the global maxima and minima of f.

(e) Sketch f. Indicate clearly where f is increasing or decreasing, and its concavity.

f(x) = x^-2/3 + x^1/3 (1.2 ≤ x ≤ 3.5)