What is the implicit derivative of #25=3y^2-5xy#?
1 Answer
Mar 31, 2018
Explanation:
#"differentiate "color(blue)"implicitly with respect to x"#
#"noting that "d/dx(y)=dy/dx" and "d/dx(y^2)=2ydy/dx#
#"differentiate "5xy" using the "color(blue)"product rule"#
#rArr0=6ydy/dx-5xdy/dx-5y#
#rArrdy/dx(6y-5x)=5y#
#rArrdy/dx=(5y)/(6y-5x)#
