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Find dy/dx in terms of x and y if arcsin(x^5y)=xy^5.

  • Calculus -

    arcsin(x^5y) = xy^5
    1/√(1-x^10y^2) * (5x^4y + x^5 y') = y^5 + 5xy^4 y'

    y' =
    y^5 - 5x^4y/√(1-x^10y^2)
    x^5/√(1-x^10y^2) - 5xy^4

    you can massage that if you want to get rid of the fractions

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