Worksheet

Post your Learning Need Signup as a Tutor

Popular Cities

Bangalore

Hyderabad

Delhi

Mumbai

Chennai

Pune

Kolkata

Gurgaon

Ahmedabad

Jaipur

Noida

Your Worksheet is Ready

CBSE - Class 11 Mathematics Limits and Derivatives Worksheet

The maximum value of $\left (\frac{1}{x} \right )^x$ is

$\frac{1}{e}$

$\left (\frac{1}{e} \right )^{e}$

$e^{\frac{1}{e}}$

$e^e$

If $f(x) = 1 – x + x^2 – x^3 ... – x^{99} + x^{100}$, then $f'(1)$ is equal to

a. 150 b. –50 c. –150 d. 50

Evaluate : $lim_{x->0} \frac{1-cos(2x)}{x^2}$

The Future contract are custom designed and hence each contract is different as per the term of the contracting parties

a. True b. False

$lim_{x->0} \frac{cos(2x)-1}{cos(x)-1}$ is

a. 2 b. $\frac{3}{2}$ c. –$\frac{3}{2}$ d. 1

If $f(x) = x^{100} + x^{99} + ... + x + 1$, then $f'(1)$ is equal to

a. 5050 b. 5049 c. 5051 d. 50051

Differentiate each of the functions w. r. to x in Exercises 29 to 42. \n $ (2x – 7)^2 (3x + 5)^3 $

Evaluate : $lim_{x->0} \frac{2sin(x) - sin(2x)}{x^3}$

Evaluate : $lim_{x->a} \frac{sin(x) - sin(a)}{x-a}$

10.

If you are trading NIFTY & BANKNIFTY futures and they moved 10 points and 100 points respectively in your favor, how much money did you make from each (ignore brokerage etc.)?

hint: check their lot size

100, 750

1000, 10000

750, 4000

Can not be calculated

11.

If $f(x) = \frac{x^n - a^n}{x-a}$ for some constant ‘a’, then $f'(a)$ is

a. 1 b. 0 c. does not exist d. $\frac{1}{2}$

12.

Differentiate each of the functions w. r. to x in Exercises 29 to 42. \n $ \frac{x^5 - cos(x)}{sin(x)} $

13.

As an option move more In The Money. The absolute value of the delta will be..

Increase

Decrease

Remain same

None of the above

14.

Mr X sold four futures contracts of BATA INDIA LTD at Rs 820 ( lots size 250 ) .what is his profit or loss if he purchase back the contract at Rs 806

Rs 3500

Rs 9500

Rs 14000

Rs 16000

15.

BANK NIFTY options expire every week in contrast to NIFTY options that expire every month

a. True b. False

16.

Evaluate : $lim_{x->\frac{\pi}{3}} \frac{\sqrt{1-cos(6x)}}{\sqrt{2}(\frac{\pi}{3}-x)}$

17.

Fill in the blanks in Exercises 77 to 80. \n If $f(x) = \frac{tan(x)}{x-\pi}$, then $lim_{x->\pi} f(x)$ = ______________

18.

Differentiate each of the functions w. r. to x in Exercises 29 to 42. \n $ \frac{3x+4}{5x^2 - 7x + 9} $

19.

Let $ f(x) = \begin{cases} x+2 & x \leq -1 \\ cx^2 & x > -1 \end{cases} $, find ‘c’ if $lim_{x->-1} f(x)$ exists.

20.

If $f(x) = 1 + x + \frac{x^2}{2} + ... + \frac{x^{100}}{100}$, then $f'(1)$ is equal to

a. $\frac{1}{100}$ b. 100 c. does not exist d. 0

Worksheet Answers

Option C

Option B

10.

Option C

11.

13.

Option A

14.

Option C

15.

Option A

20.

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All

Decline All