If is the least value of such that the function is increasing on and is the greatest…

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

R

is the least value of

a

such that the function

f(x)=x^2+ax+1

is increasing on

[1,2]

and

S

is the greatest value of

a

such that the function

f(x)=x^2+ax+1

is decreasing on

[1,2]

, then the value of

|R-S|

is.