(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The slope of the line tangent to the curve y^3 + x^2y^2 - 3x^3 = 9 at (1.5,2) is approximately

2. Relevant equations

Answer choices

A) 0.39

B) 3.2

C) -11.45

D) -2.29

E) -3.2

3. The attempt at a solution

Well, I solved for the derivative, but I'm not sure if it was to any avail seeing as when I plug the point back in I do not get an answer choice.

I got:

dy/dx = (-2xy^(2) + 9x^2) / (3y + 2x^(2)y)

Did I solve the derivative incorrectly? Or is plugging in the point not the correct course of action? Thank you again for all your help, I've been struggling with this problem a lot and any guidance/explanation would be great!

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# Homework Help: Approximating slope of the derivative at a point

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