Home > CALC > Chapter 6 > Lesson 6.2.2 > Problem 6-72
6-72.
ASTROID
The graph of
Use implicit differentiation to find
. Where does the astroid have a horizontal tangent? Explain.
Look at the derivative equation.
Now look at the graph. There are two coordinate points in which. Does the derivative exist at those points?
How about the tangent lines?Where is the derivative undefined? What happens at those points?
Look at the derivative equation. What values of
would make that equation undefined?
Now look at the graph. Describe the shape of the graph at that value of.
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