11th Math Limits and Derivatives MCQ Chapter Quiz: Check knowledge with instant result

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Limits and Derivatives MCQ Test

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Time: 10 Minutes for 10 Question.

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11th Math: Limits and Derivatives

1 / 10

1. lim_x→0 (cosec x – cot x)/x is

-1/2

1

-1

1/2

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2 / 10

2. The positive integer n so that lim_x→3 (xⁿ – 3ⁿ)/(x – 3) = 108 is

3

2

1

4

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3 / 10

3. If f(x) = x¹⁰⁰ + x⁹⁹ + … + x + 1, then f′(1) is equal to

5049

5050

5051

None

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4 / 10

4. If f(x) = x sin x, then f′(π/2) is equal to

0

1

-1

1/2

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5 / 10

5. The derivative of x² cos x is

2x sin x – x2 cos x

2x cos x – x2 sin x

2x sin x – x2 sin x

cosx – x2 sin x cos x

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6 / 10

6. Find the derivative of f(x) = 10x.

8

10

5

None

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7 / 10

7. If y = (sin x + cos x)/(sin x – cos x), dy/dx at x = 0 is

2

1

-1

-2

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8 / 10

8. Let f(x) = x – [x]; ∈ R, then f′(1/2) is

1

-1

1/2

2/3

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9 / 10

9. lim_x→0 x sin(1/x) is equal to

0

2

3

1

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10 / 10

10. lim_x→0 | sin x|/x is equal to

0

Doesn't exist

-1

1

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