CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

In the interval (1, 2), function f(x) = 2 | x − 1 | + 3 | x − 2 | is
(a) increasing
(b) decreasing
(c) constant
(d) none of these


Solution

(b) decreasing

Given: fx=2x-1+3x-2If 1<x<2, then x-1=x-1.x-2=-x-2Now, fx=2x-1+3x-2      =2 x-1+3 -x+2      =2x-2-3x+6      =-x+4f'x=-1<0So, fx is decreasing when 1<x<2.

Mathematics
RD Sharma XII Vol 1 (2015)
Standard XII

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
Same exercise questions
View More


similar_icon
People also searched for
View More



footer-image