MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability with Answers Set-C

Continuity and Differentiability Class 12 Maths MCQs Questions with Answers

Check the below NCERT MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability with Answers Pdf free download. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. We have Provided Continuity and Differentiability Class 12 Maths MCQs Questions with Answers to help students understand the concept very well.

Class 12 Maths Chapter 5 Quiz

Class 12 Maths Chapter 5 MCQ Online Test

You can refer to NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.

Continuity and Differentiability Class 12 Maths MCQ online test

Q1.	If y = e^3x+n, then the value of \(\frac{dy}{dx}\)\|_x=0 is
	A. 1
	B. 0
	C. -1
	D. 3e⁷

Ans: 3e⁷

Q2.	Let f (x) = e^x, g (x) = sin^-1 x and h (x) = f \|g(x)\|, then \(\frac{h'(x)}{h(x)}\) is equal to
	A. e^{sin^-1x}
	B. \(\frac{1}{\sqrt{1-x^2}}\)
	C. sin^-1x
	D. \(\frac{1}{(1-x^2)}\)

Ans: \(\frac{1}{\sqrt{1-x^2}}\)

Q3.	If y = ae^x+ be^-x + c Where a, b, c are parameters, they y’ is equal to
	A. ae^x – be^-x
	B. ae^x + be^-x
	C. -(ae^x + be^-x)
	D. ae^x – be^x

Ans: ae^x – be^-x

Q4.	If sin y + e^{-xcos y} = e, then \(\frac{dy}{dx}\) at (1, π) is equal to
	A. sin y
	B. -x cos y
	C. e
	D. sin y – x cos y

Ans: e

Q5.	Derivative of the function f (x) = log₅ (Iog,x), x > 7 is
	A. \(\frac{1}{x(log5)(log7)(log7-x)}\)
	B. \(\frac{1}{x(log5)(log7)}\)
	C. \(\frac{1}{x(logx)}\)
	D. None of these

Ans: \(\frac{1}{x(log5)(log7)(log7-x)}\)

Q6.	If y = log₁₀x + log y, then \(\frac{dy}{dx}\) is equal to
	A. \(\frac{y}{y-1}\)
	B. \(\frac{y}{x}\)
	C. \(\frac{log_{10}e}{x}\)(\(\frac{y}{y-1}\))
	D. None of these

Ans: \(\frac{log_{10}e}{x}\)(\(\frac{y}{y-1}\))

Q7.	If y = log [e^x(\(\frac{x-1}{x-2}\))\(^{1/2}\)], then \(\frac{dy}{dx}\) is equal to
	A. 7
	B. \(\frac{3}{x-2}\)
	C. \(\frac{3}{(x-1)}\)
	D. None of these

Ans: None of these

Q8.	If y = e^{\(\frac{1}{2}\) log(1+tan²x)}, then \(\frac{dy}{dx}\) is equal to
	A. \(\frac{1}{2}\) sec² x
	B. sec² x
	C. sec x tan x
	D. e^{\(\frac{1}{2}\) log(1+tan²x)}

Ans: sec x tan x

Q9.	If y = 2^x3^2x-1 then \(\frac{dy}{dx}\) is equal to dx
	A. (log 2) (log 3)
	B. (log lg)
	C. (log 18²) y²
	D. y (log 18)

Ans: y (log 18)

Q10.	If x^x = y^y, then \(\frac{dy}{dx}\) is equal to
	A. –\(\frac{y}{x}\)
	B. –\(\frac{x}{y}\)
	C. 1 + log (\(\frac{x}{y}\) )
	D. \(\frac{1+logx}{1+logy}\)

Ans: \(\frac{1+logx}{1+logy}\)

Q11.	If y = (tan x)^{sin x}, then \(\frac{dy}{dx}\) is equal to
	A. sec x + cos x
	B. sec x+ log tan x
	C. (tan x)^{sin x}
	D. None of these

Ans: None of these

Q12.	If x^y = e^x-y then \(\frac{dy}{dx}\) is
	A. \(\frac{1+x}{1+log x}\)
	B. \(\frac{1-log x}{1+log y}\)
	C. not defined
	D. \(\frac{-y}{(1+log x)^2}\)

Ans: \(\frac{-y}{(1+log x)^2}\)

Q13.	The derivative of y = (1 – x) (2 – x)…. (n – x) at x = 1 is equal to
	A. 0
	B. (-1) (n – 1)!
	C. n ! – 1
	D. (-1)^n-1 (n – 1)!

Ans: (-1) (n – 1)!

Q14.	If f(x) = cos x, cos 2 x, cos 4 x, cos 8 x, cos 16 x, then the value of'(\(\frac{π}{4}\)) is
	A. 1
	B. √2
	C. \(\frac{1}{√2}\)
	D. 0

Ans: (-1) (n – 1)!

Q15.	x^y. y^x = 16, then the value of \(\frac{dy}{dx}\) at (2, 2) is
	A. -1
	B. 0
	C. -1
	D. None of these

Ans: -1

Q16.	If y = e^{x+e^{x+e^x+….to∞}} find \(\frac{dy}{dx}\) =
	A. \(\frac{y^2}{1-y}\)
	B. \(\frac{y^2}{y-1}\)
	C. \(\frac{y}{y-1}\)
	D. \(\frac{-y}{y-1}\)

Ans: \(\frac{y}{y-1}\)

Q17.	If x = \(\frac{1-t^2}{1+t^2}\) and y = \(\frac{2t}{1+t^2}\) then \(\frac{dy}{dx}\) is equal to dx
	A. –\(\frac{y}{x}\)
	B. \(\frac{y}{x}\)
	C. –\(\frac{x}{y}\)
	D. \(\frac{x}{y}\)

Ans: –\(\frac{x}{y}\)

Q18.	If x = a cos⁴ θ, y = a sin⁴ θ. then \(\frac{dy}{dx}\) at θ = \(\frac{3π}{4}\) is
	A. -1
	B. 1
	C. -a²
	D. a²

Ans: -1

Q19.	If x = sin^-1 (3t – 4t³) and y = cos^-1 (\(\sqrt{1-t^2}\)) then \(\frac{dy}{dx}\) is equal to
	A. \(\frac{1}{2}\)
	B. \(\frac{2}{5}\)
	C. \(\frac{3}{2}\)
	D. \(\frac{1}{3}\)

Ans: \(\frac{1}{3}\)

Q20.	Let y = t¹⁰ + 1 and x = t⁸ + 1, then \(\frac{d^2y}{dx^2}\), is equal to
	A. \(\frac{d^2y}{dx^2}\)
	B. 20t⁸
	C. \(\frac{5}{16t^6}\)
	D. None of these

Ans: \(\frac{1}{3}\)

MCQ Questions for Class 12 Maths

NCERT Solution of Maths Class 12

Class 12 Maths

NCERT SOLUTIONS FOR CLASS 12

MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability with Answers

MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability with Answers Set-C

Continuity and Differentiability Class 12 Maths MCQs Questions with Answers

Class 12 Maths Chapter 5 Quiz

Class 12 Maths Chapter 5 MCQ Online Test

Continuity and Differentiability Class 12 Maths MCQ online test

MCQ Questions for Class 12 Maths

NCERT Solution of Maths Class 12

Class 12 Maths

NCERT Solution of Maths Class 12 Chapter 1

NCERT Solution of Maths Class 12 Chapter 2

NCERT Solution of Maths Class 12 Chapter 3

NCERT Solution of Maths Class 12 Chapter 4

NCERT Solution of Maths Class 12 Chapter 5

NCERT Solution of Maths Class 12 Chapter 6

NCERT Solution of Maths Class 12 Chapter 7

NCERT Solution of Maths Class 12 Chapter 8

NCERT Solution of Maths Class 12 Chapter 9

NCERT Solution of Maths Class 12 Chapter 10

NCERT Solution of Maths Class 12 Chapter 11

NCERT Solution of Maths Class 12 Chapter 12

NCERT Solution of Maths Class 12 Chapter 13

MCQ QUESTIONS WITH ANSWER

NCERT SOLUTIONS FOR CLASS 12

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