VU MTH-101 Online Test Preparation

MTH-101 Final Term Exams Preparation Virtual University

Sr. #	Questions	Answers Choice
1	If f is a continuous function such that lim_x_→+_∞=+∞ andlim_x_→+_∞=+∞ the f has on	maximum value but no minimum minimum value but not maximum both maximum and minimum value
2	If f''(x)<0 on an open interval (a,b) then which of the following statement is correct	f is concave up on (a,b) f is concave down on (a,b) f is linear on a,b
3	Let a function be defined on an interval and let x₁ and x₂denotes two distinct points in that interval ,If f(x₁)= f(x₂) for all points x_{1 and}x₂then which of the following statement is correct ?	f is decreasing function f is increasing function f is constant function
4	The power rule d/dx[xⁿ]=nx^n-1holds if n is	an integer a rational number an irrational number all of the above
5	Suppose that f and g are differentiable function of x then d/dx[f][g]=	[f'][g]-[f][g']/g<sup>2</sup> [f'][g'] [f'][g]+[f][g']
6	Consider a function h(x) and a constant c then d/dx{(c){h(x)}}	0 d/dx((h(x))) d/dx((h(cx))) cd/dx((h(x)))
7	if xy=4 they dy/dx ?	-1/x<sup>2</sup> 4/x<sup>2</sup> -4/x<sup>2</sup>
8	d(tan x)/dx =___	sec x sec<sup>2</sup>x cosec<sup>2</sup>x cosec x
9	lim x→0⁺ln x/1/x=_______	1 0 none of these
10	lim x→0 sin2x/x____	2 4 1 8