The function x - bx + c will be increasing in the interval ( - , … - Vidyadip

MCQ

The function $\sin x - bx + c$ will be increasing in the interval $( - \infty ,\,\,\infty )$, if

A
$b \le 1$
B
$b \le 0$
✓
$b < - 1$
D
$b \ge 0$

✓

Answer

Correct option: C.

$b < - 1$

c
(c) Let $f(x) = \sin x - bx + c$

$\therefore f'(x) = \cos x - b > 0$ or $\cos x > b$ or $b < - 1$.

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