The function

MATHEMATICS · Multi correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

The function

f(x)=x^{1/3}(x-1)

(1) has

2

inflection points (2) is strictly increasing for

x>\frac14

and strictly decreasing for

x<\frac14

(3) is concave down in

\left(-\frac12,0\right)

(4) has area enclosed by the curve in the fourth quadrant equal to

\frac{9}{28}