JEEA-11 — JEE Advanced Math — Application of Derivatives

JEE Advanced Math — Application of Derivatives

Application of derivatives for JEE Advanced aspirants.

📋 Course Learning Outcomes

On successful completion of this course, the learner will be able to:

  1. Analyze concavity, convexity, and points of inflection using the second derivative [Analyze]
  2. Apply Rolle's, Lagrange's, and Cauchy's mean value theorems to prove inequalities and existence results [Apply]
  3. Prove non-trivial inequalities by constructing auxiliary functions and analyzing their monotonicity [Create]
  4. Evaluate global maxima and minima on closed intervals using boundary and critical-point analysis [Evaluate]
  5. Investigate angle between two curves at their points of intersection [Analyze]
  6. Solve JEE Advanced multi-step optimization and paragraph problems [Evaluate]

📚 Chapters

  1. Tangents, Normals and Angle Between Curves
  2. Rate of Change and Related Rates
  3. Monotonicity and Inequalities
  4. Maxima, Minima and Stationary Points
  5. Mean Value Theorems — Rolle's, Lagrange's, Cauchy's
  6. Concavity, Convexity and Inflection
  7. Curve Sketching
  8. Inequalities via Calculus
  9. Optimization Problems
  10. Mixed Advanced Problems

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