definition of differentiability


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Definition 1 (Differential Equation)
A differential equation is a relation between the independent, dependent variables and their differential coefficients. Example:..
Definition 2 (Order of Differential Equation)
The order of differential equation is defined to be the order of the highest order derivative of the dependent variable occurring in the differential equation. Example:..
Differentiability
Differentiability - We have already defined the derivative of a function f(x) at a particular point 'a' and derivative of f(x) in general for the variable x as f (a) and f (x) respectively. The restriction in both the cases is that 'the limit must exist'. IfWe have already ..
Differentiability
We have already defined the derivative of a function f(x) at a particular point 'a' and derivative of f(x) in general for the variable x as f (a) and f (x) respectively. The restriction in both the cases is that 'the limit must exist'. IfWe have already defined the derivative of..
Differentiation
Differentiation - Differentiation is the process by which the unspecialised embryonic cells change in structure and function during development and growth of an organism to form specialised cell types, tissues, and organs, distinct from one another. Differentiation mak..
Differentiation
Introduction - The derivative, measures the rate at which the dependent variable changes with respect to the independent variable. It is one of the most important ideas in Calculus. The differentiation of functions are widely used in science, economics, medicine and computer scienc..
Differentiation from First Principles
Let y = f (x). The derivative of f at x is denoted by f '(x). Finding the derivative of a function using the above definition is called differentiation from first principle..
Differential Equations
Differential Equation: A differential equation is a relation between the independent, dependent variables and their differential coefficient..
Conclusion Differentiation
Conclusion Differentiation - In this chapter, we have studied various techniques of differentiation. Also, we have studied the method of obtaining higher order derivatives of functions which is useful in maxima and minima problems.In this chapter, we have studied various techniq..
Logarithmic Differentiation
Logarithmic Differentiation - When we want to differentiate a function of the form f(x) g(x), we use logarithmic differentiation.When we want to differentiate a function of the form f(x) g(x), we use logarithmic differentiation. Let y = f(x) g(x) Ta..
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