Limits and Derivatives MCQ Questions for Class 11 Math’s Chapter 13 with Answers

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MCQ Questions for Class 11 Mathematics Chapter wise with Answers


Q1. Differentiation of log(sin x) is

(i) cosec x
(ii) cot x
(iii) sin x
(iv) cos x

(ii) cot x


Q2. The value of Limx→a (a × sin x – x × sin a)/(ax² – xa²) is

(i) = (a × cos a + sin a)/a²
(ii) = (a × cos a – sin a)/a²
(iii) = (a × cos a + sin a)/a
(iv) = (a × cos a – sin a)/a

(ii) = (a × cos a – sin a)/a²


Q3. If y = Sin (x+9) / Cos x , then dy/dx at x = 0 is

(i) cos 9
(ii) sin 9
(iii) 0
(iv) 1

(i) cos 9


Q4. The value of Limx→01 (1/x) × sin-1 {2x/(1 + x²) is

(i) 0
(ii) 1
(iii) 2
(iv) -2

(iii) 2


Q5. If f(x) = (x + 1)/x then df(x)/dx is

(i) 1/x
(ii) -1/x
(iii) -1/x²
(iv) 1/x²

(iii) -1/x²


Q6. If y = √x + 1/√x , then dy/dx at x = 1 is

(i) 1
(ii) 1/2
(iii) 1/√2
(iv) 0

(iv) 0


Q7. Differentiation of cos √x with respect to x is

(i) sin x /2√x
(ii) -sin x /2√x
(iii) sin √x /2√x
(iv) -sin √x /2√x

(iv) -sin √x /2√x


Q8. The value of the limit Limx→0 {log(1 + ax)}/x is

(i) 0
(ii) 1
(iii) a
(iv) 1/a

(iii) a


Q9. Find the differentiation of cos (x² + 1 ) by using first principle.

(i) 2x sin (x² + 1 )
(ii) 2x sin (x² + 1 )
(iii) -2x sin (x² – 1 )
(iv) None of these

(ii) 2x sin (x² + 1 )


Q10. The value of limy→0 {(x + y) × sec (x + y) – x × sec x}/y is

(i) x × tan x × sec x
(ii) x × tan x × sec x + x × sec x
(iii) tan x × sec x + sec x
(iv) x × tan x × sec x + sec x

(iv) x × tan x × sec x + sec x


Q11. Limx→0 sin (ax)/bx is

(i) 0
(ii) 1
(iii) a/b
(iv) b/a

(iii) a/b


Q12. The derivative of (3x + 5)(1 + tan x) is

(i) 3x sec² x 6 sec2 x 3 + 3 tan x
(ii) 3x sec² x 5 sec2 x 3 3 tan x
(iii) 3x sec² x + 5 sec2 x + 3 + 3 tan x
(iv) None of the above

(iii) 3x sec2 x + 5 sec2 x + 3 + 3 tan x


Q13. Limx→0 sin²(x/3)/x² is equals to

(i) 1/2
(ii) 1/3
(iii) 1/4
(iv) 1/9

(iv) 1/9


Q14. The derivative of the function f(x) = 3x³ – 2x³ + 5x – 1 at x = -1 is

(i) 0
(ii) 1
(iii) -18
(iv) 18

(iv) 18


Q15. The derivative of (x sinx cosx) 2 + 2 is

(i) x² cos x + 2x sin x sin 2x
(ii) x² cos x + 2x sin x sin 2x
(iii) x² cos x + x sin x sin 2x
(iv) x² cos x + 2x sin x + sin 2x

(ii) x² cos x + 2x sin x sin 2x


We hope the given NCERT MCQ Questions for Class 11 Mathematics book Chapter 13 Limits and Derivatives with Answers PDF Free Download solution will definitely help you to achieve perfect score. If you have any queries related to CBSE Class 11 Mathematics book Chapter 13 Limits and Derivatives with Answers book MCQs Multiple Choice Questions with Answers, drop your questions below and will get back to you in no time.


MCQ Questions for Class 11 Mathematics Chapter wise with Answers


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