﻿ Let f (x) = sin x – x on [0, π/2], find local maximum and local minimum. : Kaysons Education

Let f (x) = Sin x – x on [0, π/2], Find Local Maximum And Local Minimum.

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.

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.

Question

Solution

Correct option is

Given,                  f (x) = sin x – x

f’(x) = cos x – x

∴ (x) is decreasing for

Hence, maximum value of f (x) is at x = 0

And minimum value of (x) is at

SIMILAR QUESTIONS

Q1

where 0 <x < π then the interval in which g(x) is decreasing is:

Q2

Find the critical points for f (x) = (x – 2)2/3 (2x + 1).

Q3

Find all the values of a for which the function possess critical points.

Q4

Using calculus, find the order relation between x and tan-1x when x Ïµ [0, ∞).

Q5

Using calculus, find the order relation between x and tan-1x when

Q6

The set of all values of ‘b’ for which the function (x) = (b2 – 3b + 2) (cos2x – sin2x) + (b – 1) x + sin 2 does not possesses stationary points is:

Q7

Find the local maximum and local minimum of (x) = x3 + 3x in [–2, 4].

Q8

The function  has a local maximum at x =

Q9

Find the set of critical points of the function

Q10

Then find the value of ‘a’ for which (x) has local minimum at x = 2.