Differentiation of parametric equations
Parametric equations are a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as "parameters." Differentiation of this function obtained by using chain rule. Example of parametric equations. Together, these equations are called a parametric equation.
Examples of parametric equations
Derivative of parametric equations
Differentiate the following with respect to x.
Examples of parametric equations
Derivative of parametric equations
Given the parametric equations and x = f(t), then y = g(t), thenExample
Differentiate the following with respect to x.
2 Key Ideas
- Notice that we need to rearrange the derivative of x equation x=f(t). See Picture below.
- Differentiation of parametric equations obtained by using chain rule and the final derivative is in term of t.
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