iran-konkur 2013 Q116

iran-konkur · Other · konkur-riazi_1392 3 marks Stationary points and optimisation Find absolute extrema on a closed interval or domain
116- What is the minimum value of the function $f(x) = x + \sqrt[3]{x^2 - x^3}$?
(1) $-\dfrac{1}{9}$ (2) $-\dfrac{1}{6}$ (3) $-\dfrac{1}{3}$ (4) zero
116- What is the minimum value of the function $f(x) = x + \sqrt[3]{x^2 - x^3}$?

(1) $-\dfrac{1}{9}$ \hfill (2) $-\dfrac{1}{6}$ \hfill (3) $-\dfrac{1}{3}$ \hfill (4) zero