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Question

In this exercise, find all points (if any) of horizontal and vertical tangency to the curve. Use a graphing utility to confirm your results.

$x=t^2-t+2, \quad y=t^3-3 t$

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 5Recall that the points of horizontal tangency to the curve are the points in which the derivative $\dfrac{dy}{dx}$ is equal to $0$.

Recall that the points of vertical tangency to the curve are the points in which the derivative $\dfrac{dy}{dx}$ is undefined.

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