differentiability of functions

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..

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..

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 makes cells of the sa..

>does not exist, then we say that the function is not differentiable. If the above limit exists, we say the function f(x) is differentiable. In order to test the differentiability of a function at a point, the right hand derivative and lef..

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'. If does not exist, then we say that the..

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

The highest order derivative of the unknown function occuring in the differential equation is the ________ of the differential equation => Power or Order or Degree or Particular solution or General 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..

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) Taking log on both sid..