Use implicit differentiation to calculate (dy)(dx) for x^2+xy-6=y^3.

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2022-08-14

Use implicit differentiation to calculate d y d x for x 2 + x y 6 = y 3

Answer & Explanation

Makai Lang

Makai Lang

Beginner2022-08-15Added 11 answers

x 2 + x y 6 = y 3
Differentiating with respect x,
2 x + ( y + x d y d x ) 0 = 3 y 2 d y d x 2 x + y = 3 y 2 d y d x x d y d x 2 x + y = ( 3 y 2 x ) d y d x d y d x = 2 x + y 3 y 2 x

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