Refer to Class 11 Mathematics Limits And Derivatives MCQs provided below. CBSE Class 11 Mathematics MCQs with answers available in Pdf for free download. The MCQ Questions for Class 11 Mathematics with answers have been prepared as per the latest syllabus, CBSE books and examination pattern suggested in Class 11 by CBSE, NCERT and KVS. Multiple Choice Questions for Chapter 13 Limits and Derivatives are an important part of exams for Class 11 Mathematics and if practiced properly can help you to get higher marks. Refer to more Chapter-wise MCQs for CBSE Class 11 Mathematics and also download more latest study material for all subjects

## MCQ for Class 11 Mathematics Chapter 13 Limits and Derivatives

Class 11 Mathematics students should refer to the following multiple-choice questions with answers for Chapter 13 Limits and Derivatives in Class 11. These MCQ questions with answers for Class 11 Mathematics will come in exams and help you to score good marks

### Chapter 13 Limits and Derivatives MCQ Questions Class 11 Mathematics with Answers

**Question. lim_{x}_{→0} sinx / √(x + 1 - √(1- x) is **

(a) 2

(b) 0

(c) 1

(d) –1

**Answer : C**

**Question. lim_{x}_{→1} (√x +1) (2x - 3) /2x^{3} + x -3 is **

(a) 1/10

(b) 1/10

(c) 1

(d) None of these

**Answer : B**

**Question. lim_{x}_{→4} |x-4 | /x - 4 is equal to **

(a) 1

(b) –1

(c) does not exist

(d) None of these

**Answer : C**

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

(a) 1

(b) 1/2

(c) 1/√2

(d) 0

**Answer : D**

**Question. lim_{x}_{→0 }|Sinx | /x is **

(a) 1

(b) –1

(c) does not exist

(d) None of these

**Answer : C**

**Question****. If y =**

(a) -4x / (x^{2} - 1)2

(b) -4x / (x^{2} - 1)

(c) 1 - x^{2} / 4x

(d) 4x / x^{2} - 1

**Answer : A**

**Question. lim_{x}_{→0} tan2x - x / 3x - Sinx **

(a) 2

(b) 1/2

(c) -1/2

(d) 1/4

**Answer : B**

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

(a) 3x sec^{2} x 6 sec2 x 3 + 3 tan x

(b) 3x sec^{2} x 5 sec2 x 3 3 tan x

(c) 3x sec^{2} x + 5 sec2 x + 3 + 3 tan x

(d) None of the above

**Answer : C**

**Question. The derivative of (ax ^{2} + cot x)( p + q cos x) is **

(a) ax

^{2}cot (q sin ) + ( p+ q cosx )(2ax cosec

^{2}x )

(b) ax

^{2}cot (q sin ) + ( p+ q cosx )(2ax cosec

^{2}x )

(c) ax

^{2}cot (q sin ) + ( p q cosx )(2ax cosec

^{2}x )

(d) None of the above

**Answer : A**

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

(a) x^{2} cos x + 2x sin x sin 2x

(b) x^{2} cos x + 2x sin x sin 2x

(c) x^{2} cos x + x sin x sin 2x

(d) x^{2} cos x + 2x sin x + sin 2x

**Answer : B**

**Question. The derivative of sin ^{3}x cos^{3}x xis **

(a) 3 /5 sin

^{2}2x cos 2x

(b) 3 /4 sin

^{2}2x cos 2x

(c) 3 /4 sin 2x cos

^{2}2x

(d) 3 /2 sin

^{2}2x cos 2x

**Answer : B**

**Question. The derivative of x ^{5} cos x /sinx is**

**Answer : B**

**Question. Find the differentiation of x ^{2/3} by using first principle. **

(a) 2/3 x

^{-1/3}

(b) -2/3 x

^{-1/3}

(c) 2/3 x

^{ 1/3}

(d) None of these

**Answer : A**

**Question. Find the differentiation of cos (x ^{2} + 1 ) by using first principle. **

(a) 2x sin (x

^{2}+ 1 )

(b) 2x sin (x

^{2}+ 1 )

(c) -2x sin (x

^{2}- 1 )

(d) None of these

**Answer : B**

**Question. If f ****(x )= x-4 /2****√x ****then f '(1) is**

(a) 5/4

(b) 4/5

(c) 1

(d) 0

**Answer : A**

**Question. Find the differentiation of x cos x by using first principle. **

(a) x sin x + cos x

(b) x sin x + cos x

(c) x cos x cos x

(d) None of these

**Answer : A**

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

(a) cos 9

(b) sin 9

(c) 0

(d) 1

**Answer : A**

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### CBSE Class 11 Mathematics Chapter 13 Limits and Derivatives MCQs

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### MCQs for Mathematics CBSE Class 11 Chapter 13 Limits and Derivatives

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**Chapter 13 Limits and Derivatives MCQs Mathematics CBSE Class 11**

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**Chapter 13 Limits and Derivatives CBSE Class 11 MCQs Mathematics**

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**CBSE MCQs Mathematics Class 11 Chapter 13 Limits and Derivatives**

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Multiple Choice Questions (MCQs) for Chapter 13 Limits and Derivatives Class 11 Mathematics are objective-based questions which provide multiple answer options, and students are required to choose the correct answer from the given choices.