SOLUTION: Find the tangent line of the curve x^3+y^2=9 at the point P(2,1).

SOLUTION: Find the tangent line of the curve x^3+y^2=9 at the point P(2,1).

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Question 560127: Find the tangent line of the curve
x^3+y^2=9 at the point P(2,1).
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Take derivative of both sides with respect to x.

(note that you need dy/dx after 2y because y is a function of x, in which we use the chain rule).

Solving for dy/dx, we get

At x = 2, y = 1, dy/dx = -12/2 = -6.
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