  # Derivative of parametric equations

Definition: Derivative of a Parametric Equation Let 𝑓 and 𝑔 be differentiable functions, such that 𝑥 and 𝑦 are a pair of parametric equations: 𝑥 = 𝑓 ( 𝑡), 𝑦 = 𝑔 ( 𝑡). Then we can define the derivative of 𝑦 with    ## 4.8: Derivatives of Parametric Equations

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: ² ² d ² y

## How to Calculate Derivatives of Parametric Functions

Second derivatives of parametric equations Math · AP®︎/College Calculus BC · Parametric equations, polar coordinates, and vector-valued functions · Defining and differentiating ## Calculus II

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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