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CBSE - Class 11 > Mathematics > Limits and Derivatives Worksheets

Free CBSE - Class 11 Mathematics - Limits and Derivatives worksheets

Sample Worksheets

Here is a Sample Worksheet for you to Practice. Download this worksheet to see the answers.

1.

Fill in the blanks 

2.
If $y = \frac{sin(x) + cos(x)}{sin(x) - cos(x)}$, then $\frac{dy}{dx}$ at x = 0 is
1. –2 2. 0 3. $\frac{1}{2}$ 4. does not exist
3.
If $y = \frac{sin(x+9)}{cos(x)}$, then $\frac{dy}{dx}$ at x = 0 is
1. cos 9 2. sin 9 3. 0 4. 1
4.
If $f(x) = 1 + x + \frac{x^2}{2} + ... + \frac{x^{100}}{100}$, then $f'(1)$ is equal to
1. $\frac{1}{100}$ 2. 100 3. does not exist 4. 0
5.
If $f(x) = \frac{x^n - a^n}{x-a}$ for some constant ‘a’, then $f'(a)$ is
1. 1 2. 0 3. does not exist 4. $\frac{1}{2}$
6.
If $f(x) = x^{100} + x^{99} + ... + x + 1$, then $f'(1)$ is equal to
1. 5050 2. 5049 3. 5051 4. 50051
7.
If $f(x) = 1 – x + x^2 – x^3 ... – x^{99} + x^{100}$, then $f'(1)$ is equal to
1. 150 2. –50 3. –150 4. 50
8.
Fill in the blanks in Exercises 77 to 80. \n If $f(x) = \frac{tan(x)}{x-\pi}$, then $lim_{x->\pi} f(x)$ = ______________
9.
Fill in the blanks in Exercises 77 to 80. \n $lim_{x->0} \frac{sin(mx)}{tan^3(2x)} = 2$, then m = ______________
10.
Fill in the blanks in Exercises 77 to 80. \n if $y = 1 + \frac{x}{1!} + \frac{x^2}{2!} + \frac{x^3}{3!} + ...$, then $\frac{dy}{dx}$ = ______________
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Chapters in CBSE - Class 11 Mathematics

Binomial Theorem Worksheet Complex Numbers Worksheet Conic Sections Worksheet Introduction to Three Dimensional Geometry Worksheet Linear Inequalities Worksheet Mathematics Worksheet Permutations and Combinations Worksheet Probability Worksheet Relations and Functions Worksheet Sequences and Series Worksheet Sets Worksheet Statistics Worksheet Straight Lines Worksheet Trigonometric Functions Worksheet

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