What is the implicit derivative of #5=xy^3-x^2y+3xy#?
1 Answer
Apr 20, 2018
Explanation:
#"differentiate the 3 terms on the right using "color(blue)"product rule"#
#rArr0=3xy^2dy/dx+y^3-x^2dy/dx-2xy+3xdy/dx+3y#
#rArrdy/dx(3xy^2-x^2+3x)=2xy-3y-y^3#
#rArrdy/dx=(2xy-3y-y^3)/(3xy^2-x^2+3x)#
