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# Homework Help watch

1. Can someone help me with these questions?

1) find dy/dx of the following equations:

A) xy = sin^2 (y)
B) tan(2x+y) = x
C) e^(xy) = 4
2. (Original post by Improvement)
Can someone help me with these questions?

1) find dy/dx of the following equations:

A) xy = sin^2 (y)
B) tan(2x+y) = x
C) e^(xy) = 4
Have you studied implicit differentiation? What have you tried so far?
3. I would suggest over viewing implicit differentiation where you differentiate y within the equation, as in not separated on one side. Then apply the respective rules for differentiating.

Alternatively you could try and differentiate with respect to y and see where that takes you.
4. Yeah I completely forgot about that, I have the answer to the first and second one but for the middle one i get sec^2 instead of cos^2?
5. (Original post by Improvement)
Yeah I completely forgot about that, I have the answer to the first and second one but for the middle one i get sec^2 instead of cos^2?
Can you post your working and answer?
6. (Original post by Improvement)
Can someone help me with these questions?

1) find dy/dx of the following equations:

A) xy = sin^2 (y)
B) tan(2x+y) = x
C) e^(xy) = 4
Look up implicit differnetation and then post your workings with answers
7. B) gives sec^2(2x+y)*(2+dy/dx)=1 -> 2+dy/dx=1/sec^2(2x+y)=cos^2(2x+y) -> dy/dx = cos^2(2x+y)-2.

(Original post by Improvement)
Yeah I completely forgot about that, I have the answer to the first and second one but for the middle one i get sec^2 instead of cos^2?
8. (Original post by constellarknight)
B) gives sec^2(2x+y)*(2+dy/dx)=1 -> 2+dy/dx=1/sec^2(2x+y)=cos^2(2x+y) -> dy/dx = cos^2(2x+y)-2.
Please don't post full solutions. It's against the rules of the forum and far more beneficial to guide to a solution.

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