Embibe Experts Solutions for Chapter: Continuity and Differentiability, Exercise 1: Level 1

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Embibe Experts Mathematics Solutions for Exercise - Embibe Experts Solutions for Chapter: Continuity and Differentiability, Exercise 1: Level 1

Attempt the practice questions on Chapter 6: Continuity and Differentiability, Exercise 1: Level 1 with hints and solutions to strengthen your understanding. Mathematics Crash Course JEE Main solutions are prepared by Experienced Embibe Experts.

Questions from Embibe Experts Solutions for Chapter: Continuity and Differentiability, Exercise 1: Level 1 with Hints & Solutions

MEDIUM
JEE Main
IMPORTANT

If fx=x2-ax+3,x is rational 2-x,x is irrational  is continuous at exactly two points, then the possible values of 'a' are

MEDIUM
JEE Main
IMPORTANT

The function fx=1-sinx+cosx1+sinx+cosx is not defined at x=π. The value of fπ, so that fx is continuous at x=π, is

MEDIUM
JEE Main
IMPORTANT

A function is defined as follows: fx=-xx2,x00,x=0 . Which one of the following is correct in respect of the above function ?

MEDIUM
JEE Main
IMPORTANT

If f(x)=|x|+|x-1|, then which one of the following is correct?

MEDIUM
JEE Main
IMPORTANT

Consider the function: fx=sin2x5x, if x0215, if x=0 

Which one of the following is correct in respect to the function?

MEDIUM
JEE Main
IMPORTANT

If fx=ex2+x,x>0ax+b,x0 is differentiable at x=0, then

HARD
JEE Main
IMPORTANT

If fx=xlogcosxlog1+x2;x00;x=0, then

EASY
JEE Main
IMPORTANT

The Rolle's theorem is not applicable tofx=x,0x12-x,1x2 on [0, 2] because