My book really doesn't go into a lot of depth but I was wondering if this is correct(adsbygoogle = window.adsbygoogle || []).push({});

If we are asked to find the tangent line of a specific value of t for a given parametric equation then we can find the equation of the tangent line in either rectangular or parametric functions.

Rectangular Mode

We need dy/dx and the point at the specific t value, say [itex](x_o,y_o)[/itex] is our point.

The tangent line is:

[tex]y-y_o = \frac{dy}{dx}(x-x_o)[/tex]

Parametric Mode

We need dy/dt, dx/dt, and the point at the specific t value, once again say [itex](x_o,y_o)[/itex].

[tex]x(t) = \frac{dx}{dt}t+x_o[/tex]

[tex]y(t) = \frac{dy}{dt}t+y_o[/tex]

Is that correct?

Also could someone explain how we derive dy/dx and d^2y/dx^2?

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# Tangent Lines of Parametric Equations

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