SOLUTION: I'm having trouble starting this calculus problem: Find the slope of the tangent line of x^2/3 + y^2/3 = 4 at the point (-1,3sqrt3). Thank you!

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Question 683193: I'm having trouble starting this calculus problem:
Find the slope of the tangent line of x^2/3 + y^2/3 = 4 at the point (-1,3sqrt3).
Thank you!

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slope of the tangent line of x^2/3 + y^2/3 = 4 at the point (-1,3sqrt3).
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x%5E2+%2B+y%5E2+=+12
differentiate implicitly
2xdx + 2ydy = 0
dy/dx = -y/x (for all cirlces)
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The point is not on the circle, tho.