differentiate independent variables


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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, medic..
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'. If does not exist, then we say that the..
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 a functio..
Differential Equations
Definitions - Differential Equation: A differential equation is a relation between the independent, dependent variables and their differential coefficient..
Differentiation by Substitution
Differentiation by Substitution - 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.Diffe..
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 continuity in the previou..
Ordinary differential equation:
A differential equation which involves only one independent variable is called an ordinary differential equatio..
Definition 1 (Differential Equation)
A differential equation is a relation between the independent, dependent variables and their differential coefficients. Example:..
There is a linear relationship between the dependent variable and the ..
There is a linear relationship between the dependent variable and the independent variables. This is called the ________ assumption. The independent variables are not correlated. This is called the _______ assumption. => nonmulticolinearity, lineari..
Differentiation of Parametric Functions
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..
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