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MTH-101 Final Term Exams Preparation Virtual University MCQs With Answers

Question # 1

Function f is differentiable function if it is differentiable on the interval

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(-∞,∞)

(a,∞) where a is any negative integer

(0,∞)

None of these

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Question # 2

Let y=(x³+ 2x)³⁷which of the following is correct?

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dy/dx=37(x³2x)³⁶

dy/dx=111x²(x³2x)³⁶

dy/dx=(111x²+74)(x³2x)³⁶

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Question # 3

If the partial sum of series is finite then the series will be:

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Convergent

GIve no information

Not Sure

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Question # 4

The set {x:a<=x<=b} can be written in the form of interval ?

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(a,b)

(a.b)

[a,b]

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Question # 5

If x>0 then d/dx[lnx]=_______

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1/x

ln 1/x

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Question # 6

For a function f(x) to be continuous on interval (a,b) the function must be continuous

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At all point in (a,b)

Only at point a,b

At mid point of a and b

None of these

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Question # 7

According to the power rule of differentiation,if f(x)=xⁿwhere n is a real number then d/dx[xⁿ]=

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x^n-1

nx^n-1

nxⁿ⁺¹

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Question # 8

How many critical points exist for a function f if f'(x)=(x-3)(x-2)

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Question # 9

Suppose that f and g are differentiable function of x then d/dx[f][g]=

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[f'][g]-[f][g']/g²

[f'][g']

[f'][g]+[f][g']

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Question # 10

Which of the following is true for the sequence {n}∞ n=0?

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Non increasing

non decreasing

increasing

decreasing

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Question # 11

Tan(x) is continuous every where except at points

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+- kπ/2 where k=(1,3,5.....)

+- kπ/2 where k=(2,4,6.....)

+- kπ/2 where k=(1,2,3,4,5,6.....)

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