Question: Consider the function x=y+2xy2.(a)(9 points) Use implicit differentiation to find dydx.Could you explain the steps in more detail.Solution.ddx(x)=ddx(y+2xy2)1=dydx+2(1)y2+4xydydx1-2y2=dydx+4xydydx1-2y2=dydx(1+4xy)1-2y21+4xy=

Consider the function x=y+2xy2.(a)(9 points) Use implicit differentiation to find dydx.Could you explain the steps in more detail.Solution.ddx(x)=ddx(y+2xy2)1=dydx+2(1)y2+4xydydx1-2y2=dydx+4xydydx1-2y2=dydx(1+4xy)1-2y21+4xy=

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