How do i Prove this?

MEaty

New member
Joined
Oct 17, 2020
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1
so i was given a assignment that says that let y=cotx+cot(x)ln(sinx) given that y''=d2y/dx2. i did solve for the first and second derivative but no matter how many tries and techniques i do ang rule i implement, i just cannot prove that this equation y''/csc^3x=-3cotx+2y. i desperately need an explanation
 

Jomo

Elite Member
Joined
Dec 30, 2014
Messages
8,291
You really did not ask any question. I suspect that given y = cot + cot(x)ln(sinx) that you want to find d2y/d2x.

If you post your work then we can find your mistake and then guide you to the correct answer.

No one on this site will show you how to do this problem, rather we prefer to you solve this problem.

Please post back.
 

Dr.Peterson

Elite Member
Joined
Nov 12, 2017
Messages
9,133
so i was given a assignment that says that let y=cotx+cot(x)ln(sinx) given that y''=d2y/dx2. i did solve for the first and second derivative but no matter how many tries and techniques i do ang rule i implement, i just cannot prove that this equation y''/csc^3x=-3cotx+2y. i desperately need an explanation
Presumably you found y' and y'' and then substituted into each side of y''/csc^3x=-3cotx+2y to see if it is true. I'm wondering if there might be a typo, after similarly failing but finding the results similar. Please show us (a) the exact wording of the problem as given to you (perhaps an image), and (b) your results for the two derivatives.
 
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