JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Easy

1 of 1

Application +4 | -1

The value of

b

for which the function

f\left( x \right) = \sin x - bx + c

is decreasing in the interval

\left( { - \infty ,\;\infty } \right)

is given by

View answer and explanation

Correct option: C

b > 1

Option C (

b > 1

) is correct because for the function to be decreasing, its derivative must be negative for all x, implying

b > \cos x

for all x, hence

b > 1

More Questions from INCREASING & DECREASING

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f\left( x \right) = \frac{{K\sin x + 2\cos x}}{{\sin x + \cos x}}

x

f\left( x \right) = {x^2} + ax + 1

a

f(x)=

\sin x-\cos x-a x+b

f(x)=x e^{x(1-x)}, x \in R

f

g

fog

f\left( x \right) = {x^3} + b{x^2} + cx + d

0 < {b^2} < c

\left( { - \infty ,\;\infty } \right)