Differentiation
Mathematics Solutions from Chapter -1 - Differentiation
This Chapter covers topics such as Successive Differentiation, Derivatives of Implicit Functions, Logarithmic Differentiation, Differentiation of Determinants, Derivative of Parametric Functions and, Differentiation using Chain Rule or Substitution
Practice Other Topics from Differentiation
In this topic, we will discuss the theorem based on the derivative of composite functions without proof. It illustrates the concept of chain rule along with the formula. We will also learn how to find the differentiation via various steps.
The topic will talk about the derivatives of different types of functions. We will discuss the derivatives of trigonometric function, inverse trigonometric functions and many more. We will study about the differentiation by substitution.
In this topic, we will understand the concept of implicit function in brief. We will also learn of its differentiation with the aid of example. It discusses the equations where one variable is defined as an implicit of another variable.
The topic will talk about the derivatives of functions in parametric forms. It describes the definitions of parametric function and parameter. It also gives us the formula for determining the differentiation.
Logarithmic differentiation is done by using chain rule and with the help logarithmic properties. Some examples are given to discuss this topic in detail.
In this topic, we will enhance our knowledge on the concept of successive differentiation in brief. We will discuss the common notations of higher order derivatives. We will learn how to find the nth derivative of various functions.
The topic will discuss the differentiation of a determinant of order two in detail. It describes the notations for the rows and columns. We will learn how to determine the differentiation of higher order with the aid of examples.