Let's define function by the pair of parametric equations:

and

where x(t), y(t) are differentiable functions and x'(t)≠0. Then the derivative is defined by the formula:

, and a≤t≤b,

where - the derivative of the parametric equation y(t) by the parameter t and - the derivative of the parametric equation x(t), by the parameter t.

Our online calculator finds the derivative of the parametrically derined function with step by step solution. The example of the step by step solution can be found here.

Parametric derivative calculator

Input the expression which parametric derivative you want to calculate:

x(t)=

y(t)=

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Derivative step by step solution sample

Implicit derivative online calculator