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23-03-2018
Mathematics

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

Respuesta :

23-03-2018

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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