Question bank/JEE Main/Mathematics

JEE MainMathematicsModerateMonotonocity

If the range of the function y=x−1x+1y = \frac{x - 1}{x + 1} on the
interval
0≤x≤40 \leq x \leq 4 be then the value of 5 b - 2 a =.

Show answer and solution
dydx=2(x+1)2>0\frac{dy}{dx} = \frac{2}{(x + 1)^{2}} > 0
That means is entirely increasing in

Hence the function is minimum at x = 0, with y = -1 and is maximum at

x = 4 with y = 3/

Source: Grass-G / M-12 Mathematics Paper 2 Nov.docx

Need a video for this idea?

Scan any doubt from your notes and get a whiteboard explanation.