Ex 16.1Question 2• 4 Marks
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Unit 6 • Lesson 16 • Class 11Mathematics (Grade 11) (Mat.401)
The Derivatives
The Derivatives. The supplied textbook contents page identifies this as Chapter 16; detailed chapter content still requires verification against the printed chapter pages.
Lesson Summary & Key Concepts
Rigorous mathematical formulation of derivative as a limit of difference quotient, first principle derivations of trigonometric and transcendental functions, chain rule, and geometric tangent slopes.
Textbook Exercises & Solutions
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Ex 16.2Question 4• 4 Marks
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Ex 16.1Question 1• 4 Marks
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Ex 16.2Question 1 (a-c)• 4 Marks
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Ex 16.3Question 1• 4 Marks
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Quick Revision Takeaways
Common Exam Pitfalls to Avoid
⚠️ Common Error: Cancelling h from denominator before establishing the limit form.
✓ Correct Approach: Simplify the numerator algebraically until h factors out cleanly from every term.
Why: Direct substitution yields the indeterminate form 0/0.