JEE MATHEMATICS MCQ: INCREASING & DECREASING

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Application +4 | -1

Set of all possible values of

k

for which

f(x)=\sin x-\cos x-k x+b

decreases for all real values of

x

, is:

View answer and explanation

Correct option: C

[\sqrt{2}, \infty)

Option C (

[\sqrt{2}, \infty)

) is correct because for f(x) to be decreasing, its derivative must be less than or equal to zero for all x, which leads to

k \geq \sqrt{2}

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f

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