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  • 10-06-2021
  • Mathematics
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derivative of the following cos(x^{2} y)=y^{2}

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Аноним Аноним
  • 10-06-2021

Answer:

[tex] \cos( {x}^{2}y ) = {y}^{2} \\ \frac{d( \cos( {x}^{2}y) ) }{dx} = \frac{d( {y}^{2}) }{dx} \\ (2xy + {x}^{2} \frac{dy}{dx} ).( - \sin( {x}^{2} y) ) = 2y \frac{dy}{dx} \\ \frac{- 2xy \sin( {x}^{2}y ) - {x}^{2} \sin( {x}^{2} y) }{2y} = \frac{dy}{dx} \\ [/tex]

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