The points at which the function attains maximum and minimum are:

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

Problem

The points at which the function

f(x)=\int_{1}^{x}\left\{2(t-1)(t-2)^3+3(t-1)^2(t-2)^2\right\}\,dt

attains maximum and minimum are: (1) Maximum when

x=\frac{7}{5}

and minimum when

x=1

(2) Maximum when

x=1

and minimum when

x=0

(3) Maximum when

x=1

and minimum when

x=2

(4) Maximum when

x=1

and minimum when

x=\frac{7}{5}