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Sorry, I have no clue why the computer writes the equations this way but I'm pretty sure when there is a \ like for this exaple question question V=\frac{4}{3}\pi r^3 it is NOT a division sign I got confused on that for a sec so when it shows that before pi it doesn't mean divide by pi, just saying. Sorry for making you go through the trouble, but THANK YOU VERY MUCH for lookin into this and helping out, I really appreciate it!

 

If y^2+x^3-1=x^2y then find the equations of all tangent lines to the curve when x=-1.

 Dec 8, 2020
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Implcitly taking the derivative, we get y*y' + 3x^2 = 2*xy*y'.  Plugging in x = -1, we get y' = -3.

 

For x = -1, y = 2 and y = -1, so the tangent line are y + 1 = -3(x + 1) and y - 2 = -3(x + 1).

 Dec 8, 2020

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