JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Easy

1 of 1

Application +4 | -1

The value of a in order that

f\left( x \right) = \sin x - \cos x - ax + b

decreases for all real values of

x

is given by

View answer and explanation

Correct option: A

a \ge \sqrt 2

Option A (

a \ge \sqrt 2

) is correct because it ensures that the derivative of the function is always negative, indicating a decreasing function for all real x.

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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)