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

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Answered 1 year ago
Answered 1 year ago
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Recall 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.