January 2004:
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| January 2004: | |
| Find dy/dx for the following implicit function. Determine where the function has horizontal and vertical tangents. 16x4 - 288x2 + 81y4 + 1296 = 0. Bonus: How does the graph of this implicit function look like? Show where the horizontal and vertical tangents are in the graph. |
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The only point this function is defined is (0,0). Thus no neighborhood exists and differentiation is not meaningful. No other real x and y value exists for this function.
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| Correct Solutions: | |
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