JEEM-19 — JEE Main Math — Application of Derivatives

JEE Main Math — Application of Derivatives

Application of derivatives for JEE Main aspirants.

📋 Course Learning Outcomes

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

  1. Apply derivatives to compute rates of change in geometric and physical contexts [Apply]
  2. Determine equations of tangents and normals to curves at given points [Apply]
  3. Identify intervals of monotonicity using the sign of the first derivative [Analyze]
  4. Apply first- and second-derivative tests to locate local maxima and minima [Apply]
  5. Solve optimization word problems by setting up and minimizing or maximizing objective functions [Evaluate]
  6. Solve JEE Main MCQs on applications of derivatives by recognizing canonical optimization templates [Apply]

📚 Chapters

  1. Rate of Change of Quantities
  2. Tangents and Normals
  3. Approximations and Errors
  4. Increasing and Decreasing Functions
  5. Maxima and Minima — First and Second Derivative Tests
  6. Absolute Maxima and Minima
  7. Mean Value Theorems
  8. Curve Sketching
  9. Optimization Word Problems

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