Differentiation of the Function Given Parametrically
Suppose that there is function y(х) given parametrically: Suppose that functions j(t) and y(t) are differentiable in parameter t and j¢t¹0, there is also the inverse function t=t-1(x). Then the derivative of function can be obtained by the formula: . (6) Examples. 1. Find the derivative: . 2. Find the derivative: .
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