Differentiability

Differentiability for JEE — concepts and worked problems.

Syllabus

  1. Differentiability

    1. The derivative as a limit — first principles
    2. Differentiability & its relation to continuity
    3. Left- & right-hand derivatives; corners & cusps
    4. Differentiability of piecewise functions
    5. Differentiability of piecewise functions — Problem Solving
    6. Rolle's theorem & the mean value theorem
    7. L'Hôpital's rule