CONTINUITY AND DIFFERENTIABILITY
| Continuity | Definition, continuity of a function at a point and on a domain. Examples and problems, Algebra of continuous functions, problems , continuity of composite function and problems |
| Differentiability | Defining logarithm and mentioning its properties , Concepts of exponential, logarithmic functions, Derivative of ex , log x from first principles, |
| Derivative of composite functions using chain rule, problems. | |
| Derivatives of inverse trigonometric functions, problems. | |
| Derivative of implicit function and problems. | |
| Logarithmic differentiation and problems . Derivative of functions expressed in parametric forms and problems. | |
| Second order derivatives and problems | |
| Rolle’s and Lagrange’s Mean Value Theorems (without proof) and their geometric Interpretations and problems |
