Differentiation of Parametric Functions


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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 parameter.

Example:

If x and y are connected parametrically by the equation given below, find  without eliminating the parameter t.

Suggested answer:

Differentiating w.r.t t, we get

Differentiating both sides with respect to x, we get



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