January 18, 2021 – 5:18 am
January 17, 2021 – 11:24 pm
January 17, 2021 – 3:42 pm
January 7, 2021 – 8:39 pm
January 6, 2021 – 1:41 am
Problem 1:

If , then is (i) (ii) (iii) y (iv)

Problem 2:

If , when ;

, when ;

, when ; then, at , the value of is

(a) 1 (b) -1 (c) 0 (d) does not exist.

Problem 3:

If , then is equal to

(i) (ii)

(iii) (iv)

Problem 4:

If g is the inverse function of f and , then is equal to

(i) (ii) (iii) (iv)

Problem 5:

If then at is :

(i) 0 (ii) 1 (iii) (iv)

Problem 6:

If then is equal to :

(i)

(ii)

(iii)

(iv)

Problem 7:

If , then equals:

(i) (ii) (iii)

(iv)

Problem 8:

If and

then the value of at is given by:

(a) 0 (b) 1/2 (c) 1 (d) -1

Problem 9:

If , , then is equal to:

(i) (ii) (iii) (iv)

Problem 10:

If , then equals:

(a) (b) (c) (d) none

Regards,

Nalin Pithwa

November 14, 2020 – 5:09 pm
Problem 1:

The derivative of w.r.t. at is

(a) 2 (b) -4 (c) 1 (d) -2

Problem 2:

If and , then

(a) (b) (c) (d)

Problem 3:

If , then is

(a) (b) (c) (d)

Problem 4:

If , then is

(a) (b) (c) (d) x

Problem 5:

If , then is

(a) (b) (c) (d)

Problem 6:

Let f, g, h and k be differentiable in , if F is defined as for all a, b, then is given by:

(i)

(ii)

(iii)

(iv)

Problem 7:

If , then at is equal to:

(i) 1 (ii) -1 (iii) 2 (iv) 3

Problem 8:

If , then

(i) (ii) (iii) (iv)

Problem 9:

If , then the value of will be

(i) 0 (ii) 1 (iii) -1 (iv)

Problem 10:

Let , where p is a constant, then at is

(a) p (b) (c) (d) independent of p

Regards,

Nalin Pithwa

November 13, 2020 – 11:16 pm
Problem 1:

Given , , then is equal to

(a)

(b)

(c)

(d)

Problem 2:

is equal to

(a) 0 (b) (c) (d) 2

Problem 3:

If , then is equal to :

(a) 1 (b) \ (c) (d)

Problem 4:

If , then

(a) 12 (b) (c) (d)

Problem 5:

If , then

(a) 0 (b) 1 (c) (d) abc

Problem 6:

If , then is equal to

(a) (b) (c) (d)

Problem 7:

If , , then

(a) (b) (c) (d)

Problem 8:

If , then

(a) (b) (c) (d)

Problem 9:

If , , then

(a) (b) (c) (d) 0

Problem 10:

If , a, b arbitrary constants, then

(a) (b) (c) (d)

Regards,

Nalin Pithwa

October 28, 2020 – 2:34 pm
October 26, 2020 – 4:22 am
Problem 1:

If , , , , then the value of is

(a) -5 (b) (c) 5 (d) 0

Problem 2:

Let , and , then is equal to :

(a) (b) (c) (d) none

Problem 3:

Let for

and for then f is derivable at , if

(a) (b) (c) (d)

Problem 4:

If for

if for , where , then is continuous and differentiable at , if

(a) (b) (c) (d)

Problem 5:

is equal to

(a) (b) (c) (d)

Problem 6:

is equal to

(a) (b) (c) (d)

Problem 7:

where

(a) (b) (c) (d)

Problem 8:

is equal to

(a) (b) (c) (d)

Problem 9:

If and , then is equal to

(a) (b) (c) (d)

Problem 10:

If , then is equal to

(a) -1 (b) (c) (d)

Regards,

Nalin Pithwa

October 26, 2020 – 12:36 am
Problem 1:

If , , then find .

Problem 2:

If , then find the value of .

Problem 3:

Find the derivative of w.r.t. x.

Problem 4:

Let , then find the value of .

Problem 5:

If , then find the value of .

Problem 6:

If , then find the value of .

Problem 7:

If , , then evaluate .

Problem 8:

If , then evaluate .

Problem 9:

If , then evaluate .

Problem 10:

If , then find

Problem 11:

If , then evaluate at .

Problem 12:

If , then evaluate .

Problem 13:

If and , find . One of the given choices is correct:

(a)

(b)

(c)

(d) none of these

Problem 14:

If and , then is given by:

(a) 1 (b) 0 (c) 12 (d) -1

Regards,

Nalin Pithwa