Calculus problem just would like my answer checked please. Find dy/dx ln 6xy = e^(x+y). Thanks :) my ans: y/x?

Answer 1

1/(6xy)*6(xdy/dx+y)=(1+dy/dx)*e^(x+y)

simplifying

dy/dx=-(e^(x+y)-1/x)/(e^x+y)-1/y)

Answer 2

Great example of why CHILDREN should be taught how to write.
Then once they get to mathematics they realize that sloppy writing can drastically affect the meaning like writing: Find dy/dy ln 6xy = e^(x+y) instead of Find dy/dx.
ln(6xy) = ...... or is it Ln(6xy) = ....

Answer 3

6xy = e^(x+y)

6xy'+6y=e^(x+y)+y'e^(x+y)
6xy'-y'e^(x+y)=e^(x+y)-6y
6xy'-y'(6xy)=6xy-6y
xy'-y'(xy)=xy-y
y'(x-xy)=xy-y
y'=(xy-y)/(x-xy)