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calculus question.......?

Find the slope of the tangent line to the curve sqrt(2x+4y)+sqrt(4xy)=16.6 at (4,7). Thanks

1 Answer

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  • Anonymous
    1 decade ago
    Favorite Answer

    Use implicit differentiation

    (1/2)*(2x+4y)^(-1/2)*(2 + 4(dy/dx)) + (1/2)*(4xy)^(-1/2)*(4x(dy/dx) + 4y) = 0

    Plug in (4,7) and work it out with a calculator

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