Unit 14 • Class 11Mathematics (Grade 11) (Mat.401)
Derivatives & Applications
अवकलन (डेरिभेटिभ)
First principle definition of derivative, differentiation rules (product, quotient, chain, parametric, implicit), higher derivatives, maxima/minima.
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
Showing 3 of 8 Solved QuestionsSelect Exercise:
Ex 17.1Question 3• 4 Marks
Topic: Tangents, Normals & Extrema
Ex 17.1Question 8• 5 Marks
Topic: Tangents, Normals & Extrema
Ex 17.1Question 1• 4 Marks
Topic: Tangents, Normals & Extrema
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.
Content Provenance & Verification
Editorial Verified & Published
Original Author / ContributorNEB Mathematics Subject Specialist
Verified BySenior Subject Specialist (TU / NEB Panel)
Curriculum Versionv1.0 (CDC 2078/2080 Grid)
Last Verified Date2026-10-23
Legitimate Official Curriculum References
public curriculum
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