Use either the 1st or 2nd derivative test to identify all local extreme values (specifying which type) for the function f(x)=sqrtx-x^3/2
Take the 1st derivative: Set = to 0. 0 = 1/2 x^(-1/2) (1-3x). Factored. x=DNE. x=1/3. (0, 1/3). (1/3, inf). 1st deriv test. +. - Pos slope. Neg slope. Increasing. Decreasing. Local max at. 1/3. Graph the function and ck.