Embibe Experts Solutions for Chapter: Continuity & Derivability, Exercise 1: EXERCISE

Author:Embibe Experts

Embibe Experts Mathematics Solutions for Exercise - Embibe Experts Solutions for Chapter: Continuity & Derivability, Exercise 1: EXERCISE

Attempt the practice questions on Chapter 5: Continuity & Derivability, Exercise 1: EXERCISE with hints and solutions to strengthen your understanding. Practice Book for KVPY Aptitude Test - Stream SX Mathematics solutions are prepared by Experienced Embibe Experts.

Questions from Embibe Experts Solutions for Chapter: Continuity & Derivability, Exercise 1: EXERCISE with Hints & Solutions

MEDIUM
KVPY Aptitude Test - Stream SX
IMPORTANT

If fx=xasin1x,x00,x=0 is continuous but non-differentiable at x=0, then

MEDIUM
KVPY Aptitude Test - Stream SX
IMPORTANT

If fx=sinx,x<0cosx-x-1,x0, then gx=fx is non-differentiable for

MEDIUM
KVPY Aptitude Test - Stream SX
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

HARD
KVPY Aptitude Test - Stream SX
IMPORTANT

If fx=1-1-x2, then fx is

MEDIUM
KVPY Aptitude Test - Stream SX
IMPORTANT

Let y=fx=e-1x2 if x00 if x=0. Then which of the following can best represent the graph of y=fx ?

MEDIUM
KVPY Aptitude Test - Stream SX
IMPORTANT

If f2+x=f-x for all xR, then differentiability at x=4 implies differentiability at

MEDIUM
KVPY Aptitude Test - Stream SX
IMPORTANT

If both fx and gx are differentiable functions at x=x0, then the function defined as hx=maximum fx, gx

MEDIUM
KVPY Aptitude Test - Stream SX
IMPORTANT

Let fx=limnx2+2x+3+sinπxn-1x2+2x+3+sinπxn+1, then