MTH101 Midterm Past Paper 2

MTH101 Mid Term

If f x  on an open interval (a,b), then which of the following statement is correct? is concave up on (a, b). is concave down on (a, b). is linear on (a, b).

1. 1

Let 2 ) y x x . Which of the following is correct?

(37)( 2 ) dy x x dx 

2 ) dy x x x dx  f f f

[ln ] d If x then x dx

x

x ln x MTH101 Mid Term

(111 74)( 2 ) dy x x x dx 

(111 74)( 2 ) dy x x x dx 

What is the base of natural logarithm?

1. 2.71
2. 10
3. 5
4. Any real number

Correct answer: 2.71

Let 0x be critical points of the function f . Those critical points for which f x

are called ___________ of f

1. Local points
2. End points
3. Stationary points

Correct answer: Stationary points

The average velocity of a body is ave V

d d t t MTH101 Mid Term

f x x g x 

f g x x

1. None of these -correct

The centre and the radius of the circle 5) 3) x y is

1. (-5,3) ,4
2. (5,-3),16
3. (5,-3),4
4. None of these

The graph x y is symmetric about

1. X-axis
2. Y-axis
3. Origin
4. None of these

The chain rule is used for two function f and g , if we have ---------- of these function

1. Product
2. Sum
3. Composition
4. None of these

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