Derivatives & Applications
अवकलन (डेरिभेटिभ)
First principle definition of derivative, differentiation rules (product, quotient, chain, parametric, implicit), higher derivatives, maxima/minima.
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 8 of 8 Solved QuestionsTopic: Derivatives from First Principles
Topic: Rules of Differentiation
Topic: Tangents, Normals & Extrema
Topic: Tangents, Normals & Extrema
Topic: Derivatives from First Principles
Topic: Rules of Differentiation
Topic: Parametric & Higher Order Derivatives
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.