It is very clear that this is the first derivative of the function y with reference to x when they are represented in a parametric form. Therefore, we can calculate the second derivative as: ยฒ ยฒ d ยฒ y

Second derivatives of parametric equations Math ยท APยฎ๏ธ/College Calculus BC ยท Parametric equations, polar coordinates, and vector-valued functions ยท Defining and differentiating

where the variable t is called a parameter. For example, two functions. describe in parametric form the equation of a circle centered at the origin with the radius In this case, the parameter

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