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How to use implicit differentiation to find d2y/dx2 of the following equation? y2 - xy + x2 = 7

1 Answer

Jun 28, 2018

#dy/dx=(y-2x)/(2y-x#

Explanation:

#y^2-xy+x^2=7#

#2y(dy/dx)-(x(dy/dx)+y)+2x=0#

#2y(dy/dx)-x(dy/dx)-y+2x=0#

#2y(dy/dx)-x(dy/dx)=y-2x#

#(2y-x)(dy/dx)=y-2x#

#dy/dx=(y-2x)/(2y-x#

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