Slope of a Parametric Curve

Tuesday, 24 April 2018

4:28 PM

The slope of the curve at the point  is given by

 

 

Machine generated alternative text: Example A curve is described parametrically by (x(t), y(t)) Find the equation of the tangent to the curve at the point (0, 0). Find the horizontal and vertical tangents. Solution. We have cly 2t — I cler We want to compute the tangent in the point (0, 0), x(t) from where we get t 0. From here we have and thus we need to solve —1. The equation of the tangent to the curve at the point (0, 0) is y —x. Alina Ostafe (UNSW) Chapter 7: Curve Senpster 1 2018 25/50

 

Horizontal Tangents

, ,

 

Vertical Tangents

, ,

 

 

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