EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 19 - Continuity and Differentiability>Assam CEE 2017>Q 1

MEDIUM

Assam CEE

IMPORTANT

Earn 100

Let $f (x) = \frac{\sin (π [x + π])}{1 + {[x]}^{2}}$ , (where $[\cdot]$ denotes the greatest integer function). Then $f (x)$ is a:

57.14% studentsanswered this correctly

Important Questions on Continuity and Differentiability

HARD

Assam CEE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 19 - Continuity and Differentiability>Assam CEE 2016>Q 2

Consider the function

f (x) = x - |x - x^{2}|, - 1 \leq x \leq 2

. The points of discontinuities of

f (x)

are

EASY

Assam CEE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 19 - Continuity and Differentiability>Assam CEE 2016>Q 3

The set of points, where the function $f (x) = \frac{x}{1 + |x|}$ is differentiable, is

HARD

Assam CEE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 19 - Continuity and Differentiability>Assam CEE 2016>Q 4

Which of the following functions is differentiable at

x = 0 ?