How do you find the derivative of # x ln y - y ln x = 1#?
1 Answer
Jun 27, 2017
Explanation:
#"using "color(blue)"implicit differentiation"#
#"differentiate " xlny" and " ylnx" using the"#
#color(blue)"product rule"#
#(x. 1/y . dy/dx+lny)-(y. 1/x+lnx. dy/dx)=0#
#rArrx/ydy/dx+lny-y/x-lnxdy/dx=0#
#rArrdy/dx(x/y-lnx)=y/x-lny#
#rArrdy/dx=(y/x-lny)/(x/y-lnx)#
