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twistoffate2099
Lv 4
twistoffate2099 asked in Science & MathematicsMathematics · 1 decade ago

Implicit Differentiation?

Using Implicit Differentiation find an equation of the tangent line to the curve at the given point.

A. x^2+2xy-y^2+x=2 (1,2)

B. x^(2/3)+y^(2/3)=4

1 Answer

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  • shelly
    Lv 5
    1 decade ago
    Favorite Answer

    A: f'(x)= 2x+2(y+x(dy/dx))-2y(dy/dx)

    = 2x+2y+2x(dy/dx)-2y(dy/dx)

    = 2x+2y+(dy/dx)(2x-2y)=0

    so (dy/dx)=(-2x-2y)/(2x-2y)

    =(-x-y)/(x-y)

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