Answer :

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

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