Differentiation of implicit function

[Anthonyk2013]

Stuck on this question. Can't figure out where they get X(4X+9Y) in the answer from the book. I attached my solution.

 

[Ishuda]

Stuck on this question. Can't figure out where they get X(4X+9Y) in the answer from the book. I attached my solution.

Assuming I am reading the problem correctly, I believe the your answer is (almost)
correct: Given
2x²y + 3x³=sin(y)
then
y' = \(\displaystyle \frac{x\, (4y\, +\, 9x)}{cos(y)\, -\, 2x^2}\)

You dropped a minus sign and, IMO, the answer book has a typo

 

[Anthonyk2013]

Assuming I am reading the problem correctly, I believe the your answer is (almost)
correct: Given
2x²y + 3x³=sin(y)
then
y' = \(\displaystyle \frac{x\, (4y\, +\, 9x)}{cos(y)\, -\, 2x^2}\)

You dropped a minus sign and, IMO, the answer book has a typo

Ya was thinking typo myself, John bird won't be happy