JEE Questions for Maths Limits Continuity And Differentiability Quiz 4 - MCQExams.com

If f(x) = sin-1 2x/(1+x2), then f(x) is differentiable on
  • [-1, 1]
  • R - {-1, 1}
  • R - (-1, 1)
  • None of these
If f(x + y ) = f(x) f(y) for all real x and y, f(= 3 and f'(= 10, then f'(is equal to
  • 30
  • 13
  • 10
  • 0
  • 6

Maths-Limits Continuity and Differentiability-34971.png
  • -1
  • 1
  • 0
  • None of these

Maths-Limits Continuity and Differentiability-34973.png
  • 0
  • 2)
    Maths-Limits Continuity and Differentiability-34974.png
  • 1
  • none of these

Maths-Limits Continuity and Differentiability-34976.png
  • 1
  • 1/n
  • n
  • 0

Maths-Limits Continuity and Differentiability-34978.png
  • 5/8
  • 5/64
  • 5/216
  • 1/27
  • None of these

Maths-Limits Continuity and Differentiability-34980.png
  • 0
  • 1
  • 3
  • 4
  • 5
If [x]denotes the greatest integer less than or equal to x for any real number x. Then,
Maths-Limits Continuity and Differentiability-34982.png
  • 0
  • 2
  • √2
  • 1
For a ϵ R (the set of all real numbers), a ≠ - 1
Maths-Limits Continuity and Differentiability-34984.png
  • 5
  • 7
  • -15/2
  • -17/2
The function which is continuous for all real values of x and differentiable at x = 0 is
  • |x|
  • log x
  • sin x
  • x1/2

Maths-Limits Continuity and Differentiability-34986.png
  • a = 1, b = 4
  • a = 1, b = - 4
  • a = 2, b = -3
  • a = 2, b = 3

Maths-Limits Continuity and Differentiability-34988.png
  • - (5/and 1
  • -1 and - (1/2)
  • - (7/and 2
  • - (9/and 3

Maths-Limits Continuity and Differentiability-34990.png
  • 2 log2
  • log 2
  • 1/2 log 2
  • 1/2

Maths-Limits Continuity and Differentiability-34992.png
  • 3
  • 0
  • 1
  • 2

Maths-Limits Continuity and Differentiability-34994.png
  • 2/3
  • 2/√3
  • 3√3/2
  • 2/3√3
If f'(x) = f(x), f(= 1, then
Maths-Limits Continuity and Differentiability-34996.png
  • 0
  • 1
  • -1
  • 2

Maths-Limits Continuity and Differentiability-34998.png
  • 0
  • 1/12
  • 1/24
  • 1/64
If f : R → R is a positive increasing function with
Maths-Limits Continuity and Differentiability-35000.png
  • 1
  • 2/3
  • 3/2
  • 3

Maths-Limits Continuity and Differentiability-35002.png
  • 0
  • 1
  • 2
  • -1
  • -2

Maths-Limits Continuity and Differentiability-35004.png
  • e2
  • e
  • 1/e
  • 1/e2

Maths-Limits Continuity and Differentiability-35006.png
  • 1 - 1/a
  • e(1 - a)
  • e(1- 1/a)
  • e(1 + a)
If f : R → r is a differentiable function such that f(= 3, f'(= 1/2. Then the value of
Maths-Limits Continuity and Differentiability-35008.png
  • 25
  • 26
  • 27
  • None of these

Maths-Limits Continuity and Differentiability-35010.png
  • 1/2
  • 2/3
  • 1/3
  • 1/6

Maths-Limits Continuity and Differentiability-35012.png
  • e-1
  • e
  • 2
  • 0

Maths-Limits Continuity and Differentiability-35014.png
  • 0
  • -1
  • 1
  • does not exist

Maths-Limits Continuity and Differentiability-35016.png
  • 9
  • 10
  • 25
  • 20

Maths-Limits Continuity and Differentiability-35018.png
  • 1
  • e
  • e2
  • e3

Maths-Limits Continuity and Differentiability-35020.png
  • 2
  • -2
  • 1
  • -1
  • 0
If f : R → R is defined by f (x) = [x - 3] + [x - 4] for x ϵ R, then
Maths-Limits Continuity and Differentiability-35022.png
  • -2
  • -1
  • 0
  • 1

Maths-Limits Continuity and Differentiability-35024.png
  • e
  • p
  • q
  • 0

Maths-Limits Continuity and Differentiability-35026.png
  • 8/π f(2)
  • 2/πf(2)
  • 2/πf(1/2)
  • 4f(2)
If f(x) differentiable and f'' (= a, then
Maths-Limits Continuity and Differentiability-35028.png
  • 3a
  • 2a
  • 5a
  • 4a

Maths-Limits Continuity and Differentiability-35030.png
  • 1/2
  • 1
  • 2
  • None of these

Maths-Limits Continuity and Differentiability-35032.png
  • 0
  • ∞
  • 2
  • 1/2

Maths-Limits Continuity and Differentiability-35034.png
  • b/a
  • 0
  • 1
  • 4/5

Maths-Limits Continuity and Differentiability-35036.png
  • 1/10
  • 0
  • 1/5
  • 3/10

Maths-Limits Continuity and Differentiability-35038.png
  • 0
  • 1
  • ∞
  • - ∞

Maths-Limits Continuity and Differentiability-35040.png
  • 0
  • -3
  • -1
  • infinity

Maths-Limits Continuity and Differentiability-35042.png
  • π/2
  • 1
  • - π
  • π

Maths-Limits Continuity and Differentiability-35044.png
  • 1
  • 2
  • 0
  • 3

Maths-Limits Continuity and Differentiability-35046.png
  • 1/8
  • 0
  • 1/32
  • ∞

Maths-Limits Continuity and Differentiability-35048.png
  • 0
  • e
  • 1
  • does not exist

Maths-Limits Continuity and Differentiability-35050.png
  • - (1/4)
  • 1/2
  • 1
  • 2

Maths-Limits Continuity and Differentiability-35052.png
  • sin 2
  • cos 2
  • 1
  • 2 cos 2 + sin 2

Maths-Limits Continuity and Differentiability-35054.png
  • 1/5
  • 1/4
  • 1/3
  • 1/2

Maths-Limits Continuity and Differentiability-35056.png
  • 0
  • 1
  • 2
  • None of these

Maths-Limits Continuity and Differentiability-35058.png
  • √2
  • -√2
  • 1/√2
  • does not exit

Maths-Limits Continuity and Differentiability-35060.png
  • a = 1, b = 2 and c = 1
  • a = 1, b = 1 and c = 2
  • a = 2, b = 1 and c = 1
  • a = b = c = 1

Maths-Limits Continuity and Differentiability-35062.png
  • 1
  • 0
  • positive infinity
  • does not exist

Maths-Limits Continuity and Differentiability-35064.png
  • e-1
  • e-1/2
  • 1
  • does not exist
0:0:1


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