For the answer to the question above, I' ll show the step by step on how to solve your problem,
First,
ln x+lny+5x = 30
Then,
1/x + (1/y)(dy/dx) + 5 = 0
the last step is
(1/y)(dy/dx) = -1/x - 5x
dy/dx = -y/x - 5xy
I hope my explanation and answer helped you