differentiability of the value function

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. Differentiatio..

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..

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 sci..

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 defin..

Differentiation of Parametric Functions - If x=f(t) and y=g(t), where x and y are dependant on the independent variable t, thenIf x=f(t) and y=g(t), where x and y are dependant on the independent variable t, then t is called the paramet..

If x=f(t) and y=g(t), where x and y are dependant on the independent variable t, then t is called the paramete..

Any function that satisfies a differential equation is known as the ________ of that differential equation. => Degree or Order or General solution or Particular solution or Linear solution..

Differentiation of certain functions seem to be very difficult, but by suitably substituting the independent variable with some trigonometric function or other functions, they can be differentiated easily. If f(x) involves inverse trigon..

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 techniques of 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 continuity in the previous chapter, we ..