Find The Interval For Which f (x) = x – Sin x is Increasing Or Decreasing.

Why Kaysons ?

Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

Live Doubt Clearing Session

Ask your doubts live everyday Join our live doubt clearing session conducted by our experts.

National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

SPEAK TO COUNSELLOR ? CLICK HERE

Download JEE Question paper & Solution Download JEE Important questions Download Complete syllabus of Maths, Physics, Chemistry

Question

Find the interval for which f (x) = x – sin x is increasing or decreasing.

None of these

easy

Solution

Correct option is

None of these

Given f (x) = x – sin x,

Differentiating both sides w.r.t. x, we have

Which shows f (x) is increasing for the entire number scale i.e., all real number.

Download JEE Question paper & Solution Download JEE Important questions Download Complete syllabus of Maths, Physics, Chemistry

SIMILAR QUESTIONS

Q1

easy View solution

Q2

Let f (x) be a function such that f’(a) ≠ 0. Then at x = α ; f (x)

easy View solution

Q3

The minimum value of

easy View solution

Q4

Find the interval in which f (x) = 2x³ + 3x² – 12x + 1 is increasing.

easy View solution

Q5

Find the interval in which f (x) = x³ – 3x² – 9x + 20 is strictly increasing or strictly decreasing.

easy View solution

Q6

Find the interval of increase or decrease of the

easy View solution

Q7

The function f (x) = sin⁴ x + cos⁴ x increasing if:

easy View solution

Q8

Then f decreases in the interval

easy View solution

Q9

easy View solution

Q10

Where a is positive constant. Find the interval in which f’ (x) is increasing.

diffcult View solution