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Find dy/dx by implicit differentiation. 4 + 7x = sin (xy^2)

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  1. Today, 14:40
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    Take the derivative with respect to x, where y is a function of x

    Do a chain rule products rule combo

    7 = y²Cos (xy²) + 2xyCos (xy²) (dy/dx)

    solve for dy/dx

    (7 - y²Cos (xy²)) / (2xyCos (xy²)) = dy/dx

    simplify

    7Sec (xy²) / 2xy - y/2x = dy/dx
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