Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 5 - Continuity and Differentiability>Work Book Exercise 5.1>Q 8

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JEE Advanced

IMPORTANT

Earn 100

The set of points of discontinuity of the function $f (x) = |\sin x|$ is

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Important Questions on Continuity and Differentiability

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 5 - Continuity and Differentiability>Work Book Exercise 5.1>Q 9

The set of points of discontinuity of the function

f (x) = \frac{|\sin x|}{\sin x}

is

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 5 - Continuity and Differentiability>Work Book Exercise 5.1>Q 10

If the function

f (x) = {(\sin 2 x)}^{\tan^{2} 2 x}

is not defined at

x = \frac{π}{4}

. Then, the value of

f (\frac{π}{4}),

so that

f (x)

is continuous at

x = \frac{π}{4}

, is

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 5 - Continuity and Differentiability>Work Book Exercise 5.2>Q 1

Which of the following functions is differentiable at

x = 0 ?

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 5 - Continuity and Differentiability>Work Book Exercise 5.2>Q 2

The set of all points, where the function

f (x) = \sqrt[3]{x^{2} | x |}

is differentiable, is

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 5 - Continuity and Differentiability>Work Book Exercise 5.2>Q 3

If

f (x) = \sin^{- 1} (\frac{2 x}{1 + x^{2}})

, then

f (x)

is differentiable on

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 5 - Continuity and Differentiability>Work Book Exercise 5.2>Q 4

The set of points, where the function

f (x) = \sqrt{1 - e^{- x^{2}}}

is differentiable, is

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Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 5 - Continuity and Differentiability>Work Book Exercise 5.2>Q 5

If

f (x) = a |\sin x| + b e^{|x|} + c {|x|}^{3}

and

f (x)

is differentiable at

x = 0

, then

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 5 - Continuity and Differentiability>Work Book Exercise 5.2>Q 6

The function

f (x) = \tan^{- 1} (\tan x)

is