Continuity and Differentiability
Mathematics Solutions from Chapter -1 - Continuity and Differentiability
The chapter explains that a characteristic of a function which represents the function as a graphical continuous wave is called the continuity of the function. We will learn about the differentiable function.
Practice Other Topics from Continuity and Differentiability
Some properties and examples of continuity are discussed in this topic. The algebra of continuous functions is also discussed in this topic with examples.
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 discusses the derivatives of composite and implicit functions in terms of continuous and non-continuous functions. This is explained using the aid of solved examples and theorems.
Logarithmic differentiation is done by using chain rule and with the help logarithmic properties. Some examples are given to discuss this topic in detail.
Exponential and logarithmic functions are opposite to each other. Some properties and examples of exponential and logarithmic functions are discussed in this topic.
This topic talks about the derivative of functions in parametric forms. Here a third variable, that is, parameter is used when the relation between two variables is neither explicit nor composite.
The first order derivative is defined as the slope of a function graphically. The second order derivative of the function defines the change of the slope for independent variables.
Mean value theorem is the commonly used theorem in calculus. In this topic, the statement of the theorem and examples related to it are discussed.
