How can i find the implicit diffrentiation of 4x2-8xy+9y2=16??

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Answer 1 · 2018-03-30T18:56:38

#dy/dx=(4y-4x)/(9y-4x)#

#"differentiate "color(blue)"implicitly with respect to x"#

#"differentiate "8xy" using the "color(blue)"product rule"#

#"noting that "#

.#d/dx(y)=dy/dx" and "d/dx(y^2)=2ydy/dx#

#rArr8x-8xdy/dx-8y+18ydy/dx=0#

#rArrdy/dx(18y-8x)=8y-8x#

#rArrdy/dx=(8y-8x)/(18y-8x)=(4y-4x)/(9y-4x)#

How can i find the implicit diffrentiation of 4x*2-8xy+9y*2=16??