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Savannah
Savannah asked in Science & MathematicsMathematics · 7 days ago

Please help fast!  Consider the equation x^2+xy^2+y^3=100Use implicit differentiation to find y′?

x^2+(xy)^2+y^3=100

2 Answers

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  • ?
    Lv 7
    7 days ago

    x^2 + (xy)^2 + y^3 = 100

    y^3 = 100 - x^2 - (xy)^2

    y'(x) = -(2 x y)/(2 x^2 + 3 y) - (2 x)/(y (2 x^2 + 3 y))

  • rotchm
    Lv 7
    7 days ago

    Hints: What's the derivative of x² ? The derivative of y^3 is 3y² * y'.

    Now, whats the derivative of xy² ?

    Answer these, and then we will take it from there if need be.

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