Homework Help: Tricky derivative

1. Aug 31, 2010

blue mango

1. The problem statement, all variables and given/known data

if x^2*y-e^2x=sin(y) find dy/dx

3. The attempt at a solution

I tried solving for y but that seems quite impossible so I was wondering if anyone had any other suggestions on possible solutions. Thanks
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. Aug 31, 2010

Office_Shredder

Staff Emeritus
Do you know what implicit differentiation is?

3. Aug 31, 2010

blue mango

yes...thanks for reminding me of that. the left side isn't a problem but how do you differentiate sin(y) with respect to x?

4. Aug 31, 2010

blue mango

actually wouldn't it just be 0? then dy/dx is e^2x/x

5. Aug 31, 2010

Office_Shredder

Staff Emeritus
You have sin(y). y is a function of x so you could write this as sin(y(x)). Then use the chain rule

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