Math Problem Statement

If 2, minus, 5, y, cubed, minus, x, y, equals, x, squared2−5y3−xy=x2 then find start fraction, d, y, divided by, d, x, end fractiondxdy​ in terms of xx and y, .y.

Solution

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Math Problem Analysis

Mathematical Concepts

Implicit Differentiation
Algebra
Calculus

Formulas

Product rule: d(uv)/dx = u'(v) + u(v')
Chain rule: d(f(g(x)))/dx = f'(g(x)) * g'(x)

Theorems

Implicit Differentiation

Suitable Grade Level

Grades 11-12 (Calculus)