Applications of Derivatives

Applications of Derivatives for JEE — concepts and worked problems.

Syllabus

  1. Applications of Derivatives

    1. Rate of change & related rates
    2. Rate of change & related rates — Problem Solving
    3. Increasing & decreasing functions (monotonicity)
    4. Increasing & decreasing functions (monotonicity) — Problem Solving
    5. Critical points & the first-derivative test
    6. Second-derivative test; points of inflection
    7. Absolute maxima & minima on a closed interval
    8. Applied optimisation problems
    9. Applied optimisation problems — Problem Solving
    10. Tangents & normals; angle of intersection of two curves
    11. Approximation & errors using differentials
    12. Curve sketching from the derivatives