Derivability or Differentiability at a Point
Let f be a function and a be any point in its domain. Let h>0 be a small number. f(x) is said to be differentiable if exists and is denoted by f | (a), then f | (a) is called the derivative or differential coefficient of f(x) at x = a. That ..
Let f be a function and a be any point in its domain. Let h>0 be a small number. f(x) is said to be differentiable if exists and is denoted by f | (a), then f | (a) is called the derivative or differential coefficient of f(x) at x = a. That ..The highest exponent of the highest order derivative in a differenti..
The highest exponent of the highest order derivative in a differential equation is the ______ of the differential equation. => Degree or Order or Exponent or Both A and B or Both B and C..
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 alr..
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 alr..Differentiation
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 science...
The order of the highest order derivative of the unknown function occu..
The order of the highest order derivative of the unknown function occurring in the differential equation is the _______ of the differential equation. => Order or Degree or Particular solution or None of the above..
Application of Derivatives
Differential calculus can be considered as mathematics of motion, growth and change where there is a motion, growth, change. Whenever there is variable forces producing acceleration, differential calculus is the right mathematics to apply. Application of derivatives..
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 vario..
Introduction to Differentiation
Introduction to Differentiation - After having studied functions, limits and continuity in the previous chapter, we shall further divide the class of continuous functions into two sub classes, derivable and non-derivable.After having studied functions, limits and conti..
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..
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..Summary Differentiation
A function f(x) is said to be derivable at a point x = a if A function f(x) is said to be derivable at a point x = a if Left hand derivative Lf '(a) Right hand derivative Rf '(a) ..
A function f(x) is said to be derivable at a point x = a if A function f(x) is said to be derivable at a point x = a if Left hand derivative Lf '(a) Right hand derivative Rf '(a) .. Result
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