In This Post we are  providing Chapter-13 LIMITS AND DERIVATIVES NCERT MOST IMPORTANT QUESTIONS for Class 11 MATHS which will be beneficial for students. These solutions are updated according to 2021-22 syllabus. These MCQS  can be really helpful in the preparation of Board exams and will provide you with a brief knowledge of the chapter.

NCERT MOST IMPORTANT QUESTIONS LIMITS AND DERIVATIVES


1. Find the derivative of at 

Ans. 

At 

=

=


2. Find the derivative of with respect to using product rule

Ans. let


3. Find the derivative of with respect to 

Ans. let

=

=

=

=


4. Find 

when 

Ans. 

We know that 

L. H. L. 

R. H. L. 

L. H. L. R. H. L does not exist


5. Find the derivative of the function at Also show that 

Ans. 

At 

 Hence proved


6. Evaluate 

Ans. 

=


7. Find derivative of  by first principle

Ans. 


8. Evaluate 

Ans. 


9. Evaluate (if it exist)

Ans. 


Ans.

For all real number exist

For 

 all integral values of exist



10. Differentiate the function with respect to 

Ans. 


11. Find 

Ans. 

12. Find 

Ans. 

13. Find derivative of by first principle

Ans. 

14. Find derivative of 

Ans. 

15. Find derivative of 
Ans.
 





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