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Derivatives Of Function In Parametric Form of Continuity and Differentiability

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Sometimes the relation between two variables is neither explicit nor implicit, but some link of a third variable with each of the two variables, separately, estabilishes a relation between the first two variables. In such a situation, we say that the relation between them is expressed via a third variable, which is called the parameter. More precisely, a relation expressed between two variables x and y in the form x -f(t), y = g(t) is said to be parametric form with t as a parameter.

In order to find derivative of function in such form, we have by chain rule.

Derivatives Of Function In Parametric

Second Order Derivative

Derivatives Of Function In Parametric

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