JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Easy

1 of 1

Analyzing +4 | -1

If the function

f(x)=3 \cos |x|-6ax+b

increases for all

x \in R

, then the range of values of

a

is given by

View answer and explanation

Correct option: B

(-\infty,-1 / 2)

Option B ((-∞,-1 / 2)) is correct because it ensures that the derivative of

f(x)

is always positive, making

f(x)

an increasing function for all

x \in R

More Questions from INCREASING & DECREASING

Practice All Chapter MCQs →

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)