A function is said to be differentiable if the derivative of function exists at all points of its domain. For checking the differentiability of a function at a point, must exist. If a function is differentiable at a point, then it is also continuous at that point. Students go on to learn about continuity, algebra of continuous function, definition and meaning of differentiability, derivatives of composite functions, derivative of implicit functions. The derivative of inverse trigonometric functions, exponential and logarithmic functions, logarithmic differentiation, derivatives of functions in parametric forms, second-order derivatives, mean value theorem via various examples. Here, students can find the exercises explaining these concepts properly with solutions.