I'm stuck on this implicit differentiation question, where I'm requiblack to find the turning points, the equation goes like this y^3+3xy^2-x^3=3

Tiana Hill

Tiana Hill

Answered question

2022-09-06

I'm stuck on this implicit differentiation question, where I'm requiblack to find the turning points, the equation goes like this y 3 + 3 x y 2 x 3 = 3

Answer & Explanation

Corbin Hanson

Corbin Hanson

Beginner2022-09-07Added 10 answers

I don't know what you mean by turning points, but to find the derivative of your implicit function,
d y 3 y 2 + 3 y 2 d x + 6 y x d y 3 x 2 d x = 0 d y d x = 3 x 2 3 y 2 3 y 2 + 6 x y
Solving for d y d x as you would any other variable.

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