ANSWERS: 1

y/(x+6y)=x^25 USING THE QUOTIENT RULE. [(y')(x+6y)(y)(1+6(y'))/(x+6y)^2]=2x (y')(x+6y)(y)(1+6(y')) =2x(x+6y)^2 (y')(x+6y)y6y(y')) =2x(x+6y)^2 (y')(x+6y)6y(y')) =2x(x+6y)^2+y (y')[x+6y6y] =2x(x+6y)^2+y y'= dy/dx = ={[2x(x+6y)^2]+y}/[x+6y6y] now plug in (1, 4/25) for (x,y) and you got your slop. (= (dy/dx))
Copyright 2020, Wired Ivy, LLC