MTH101 Midterm Past Paper 1

MTH101 Mid Term

log r b a 

logb a r

logb r a

log

log b

b a

r

If f is a twice differentiable function at a stationary point 0x and f x then

f has relative …………. At 0x

1. Minima
2. Maxima
3. None of these

Correct answer: Minima

If f is a twice differentiable function at a stationary point 0x and f x then

f has relative …………. At 0x

1. Minima
2. Maxima
3. None of these

Correct answer: Maxima

A line x x is called ------------ for the graph of a function f if log log b b a r MTH101 Mid Term

f x or f x as x approaches 0x from the right or from the left

1. Horizontal asymptotes
2. None of these
3. Vertical asymptotes

Correct answer: Horizontal asymptotes

A line y y is called a ………………. for the graph f if

lim lim x x f x y or f x y

1. Vertical asymptotes
2. Horizontal asymptotes
3. None of these

Correct answer: Horizontal asymptotes

According to Power-Rule of differentiation, if n f x x where n is a real number,

then

nx 

n n x 

n n x 

If f x x x  then f x

x 

x 

x x n d x dx MTH101 Mid Term

If y f g h x u g h x v h x then dy dx 

dy du dv du dv dx

dy du dv du dv dx

dv du dy du dv dx

Chain rule is a rule for differentiating ___________ of functions.

1. Product
2. Sum
3. Difference
4. Composition

Correct answer: Composition

Let a function be defined on an interval, and let and denote points in

that interval. If f x f x whenever x x then which of the following

statement is correct?

Let a function be defined on an interval, and let and denotes two f 1x 2x

f

f

f

f 1x 2x