Answer :

Condition (1):


Since, f(x)=x1/2 is a polynomial and we know every polynomial function is continuous for all xϵR.


f(x)= x1/2 is continuous on [-1,1].


Condition (2):


Here, which does not exist at x=0 in [-1,1].


f(x)=x1/2 is not differentiable on (-1,1).


Condition (2) of Rolle’s theorem is not satisfied.


So,Rolle’s theorem is not applicable.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Verify the Rolle’Mathematics - Exemplar

The value of c inMathematics - Exemplar

For the function Mathematics - Exemplar

Verify the Rolle’Mathematics - Exemplar

Verify the Rolle’Mathematics - Exemplar

Discuss theRD Sharma - Volume 1

Using Rolle’s theMathematics - Exemplar

Verify the Rolle’Mathematics - Exemplar

State True Mathematics - Exemplar

Discuss the appliMathematics - Exemplar