MTH101 Midterm Past Paper 21 by Asfand Yarr

MIDTERM EXAMINATION Fall 2009 MTH101Calculus And Analytical Geometry (Session - 2)

Time: 60 min

Q1. If f is a twice differentiable function at a stationary point (1 marks)

0x and f x then f

has relative …………. At 0x

Minima
Maxima

Q2. If f is a twice differentiable function at a stationary point (1 marks)

0x and f x then f

has relative …………. At 0x

Minima
Maxima

Q3. A line (1 marks)

x x is called ------------ for the graph of a function f if f x or f x as x approaches 0x from the right or from the left

Q4. A line (1 marks)

y y is called a ………………. for the graph f if lim lim x x f x y or f x y

Q5. According to Power-Rule of differentiation, if (1 marks)

n f x x where n is a real number, then

n d x dx

nx −

n n x −

n n x +

1) n n x +

Q6. If (1 marks)

f x x x then f x

x +

x +

x x

x x

Q7. (tan (1 marks)

d x dx

sec x

sec x sec co x

sec co x cos 1 cos x x

cos 1 cos x x

cos 1 cos x x

1 cos x

Q14. If a function g is differentiable at a point x and a function f is differentiable at a point g(x), then the ________ is differentiable at point x . (1 marks)

Composition (f o g)
Quotient ( f / g )
Product (f . g)
Sum (f + g)

Q15. If (1 marks)

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