To find the parametric equations of the tangent line to a curve at a given point, take the derivative of the function r (t) with respect to t and set it equal to zero.
We can find the tangent line at the value of the parameter t equals 0 by evaluating our derivative at that parameter value.
We can use the derivative to find the equation of a tangent line to a parametric curve.
To write parametric equations for a tangent line to a vector function, take the corresponding value from the coordinate point, add to that the corresponding value from the vector multiplied by the parameter t, and simplify.
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This video tutorial works through math problems/equations that address topics in Calculus 3, Vectors. This specific tutorial addresses Parametric equations of the tangent line.
Length: 9 minutes
Copyright date: ©2013
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