Continuity and Differentiability of Functions
Mathematics Solutions from Chapter -1 - Continuity and Differentiability of Functions
This chapter discusses continuity and the derivatives of trigonometric functions, composite functions, and inverse trigonometric functions. It also explains second-order derivatives, Rolle’s theorem and Lagrange’s mean value theorem.
Practice Other Topics from Continuity and Differentiability of Functions
The topic will help to understand the concept of continuity at a point. It gives a brief explanation with the aid of examples where function is the real values. We will also learn the definition based on it.
The topic will discuss the different types of discontinuity of a given mathematical function. It also discusses the jump, removable and infinite discontinuity of the function along with their explanation.
This topic enhances our knowledge on the continuous on an interval. It comprises the definition of it in an open and closed interval. It also explains the concept of continuous function and its domain.
This topic deals with the properties of continuous function in detail. We will discuss various kinds of theorems based on domain, rational number and many more. We will also learn their proofs and some corollary.
Some properties and theorems on differentiability are discussed in this topic. The derivatives of composite functions are also discussed in detail with examples.
This topic enhances our knowledge on the relation between continuity and differentiability. We will understand theorems along with its proof. We will study about the converse of the theorem via example.
