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Calculus

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find the equation of a tangent line of

x^(1/4) + y^(1/4) = 4 at the point (16,16)

  • Calculus - ,

    1/4 x^-3/4 dx + 1/4 y^-3/4 dy=0

    dy/dx=slope=(- y/x)^3/4

    y=mx+ b
    16=(-16/16)^3/4 + b

    which is a curious problem, you have to take the 4th root of a negative number, which is not a real number. End of problem, there is no line.

    check my thinking.
    d

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