Class XI Mathematics

Chapter 12: Limits and Derivatives

Standard NCERT & CBSE aligned study curriculum. Master concepts, track accuracy, revise weak areas, and challenge yourself with 9 customized practice modes.

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Worksheet Details:

  • Title: Class XI Math: Limits and Derivatives Printable Sheet
  • Format: Print Optimized CSS stylesheet
  • Sections: Formulas checklist, 5 assessment questions, worked keys

NexPro Education Worksheet

Class XI Mathematics: Limits and Derivatives

Name: ______________________Date: __________________Score: ______ / 5

Section I: Key Formulas

Standard Trig Limit
\lim_{x \to 0} \frac{\sin x}{x} = 1
Quotient Rule of differentiation
\frac{d}{dx}\left(\frac{u}{v}\right) = \frac{u'v - uv'}{v^2}

Section II: Answer the Questions

1. Find the derivative of (5x3 + 3x - 1)(x - 1)

Solve and write the step-by-step solution in the workspace below.

2. Find the derivative of 22 1 3 1 x x x -+ -

Solve and write the step-by-step solution in the workspace below.

3. [Worksheet Question 1] Apply the formula Standard Trig Limit to solve for coefficient constants. What is the value?

[ ] A. Constant value[ ] B. Dependent variable[ ] C. Zero[ ] D. Undefined

4. [Worksheet Question 2] Apply the formula Standard Trig Limit to solve for coefficient constants. What is the value?

[ ] A. Constant value[ ] B. Dependent variable[ ] C. Zero[ ] D. Undefined

5. [Worksheet Question 3] Apply the formula Standard Trig Limit to solve for coefficient constants. What is the value?

[ ] A. Constant value[ ] B. Dependent variable[ ] C. Zero[ ] D. Undefined