Question bank/JEE Main/Mathematics

The least positive integral value of for which the
function f (x) = 2 b x-3 sin x + c is monotonically increasing
$\forall x \in$ R is

A4B1C2D3

Show answer and solution▾

2b-3 cos x ≥ 0
[IMAGE] 2b ≥ 3 cos x
$\Rightarrow b \in \left\lbrack \frac{3}{2},\infty \right)$

Source: Grass-G / M-09 Mathematics Paper 26 October.docx