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1. Homework Statement
I am told to find dy/dx by implicit differentiation where:
e^(x^2 * y) = x + y
2. Homework Equations
The above equation and the ln of it.
3. The Attempt at a Solution
e^(x^2 * y) = x + y
(x^2 * y)ln(e) = ln(x+y)
x^2 * y = ln(x+y)
x^2(dy/dx) + y(2x) = 1/(x+y) * (1 + dy/dx)
(dy/dx)[x^2  1/(x+y)] = 1/(x+y)  2xy
dy/dx = (1/(x+y)  2xy)/(x^2  1/(x+y))
or here: https://postimg.org/image/3k5ygbkxt/
This was marked wrong (online software). It doesn't care about simplest form and it was entered properly. So, what did I do wrong?
I am told to find dy/dx by implicit differentiation where:
e^(x^2 * y) = x + y
2. Homework Equations
The above equation and the ln of it.
3. The Attempt at a Solution
e^(x^2 * y) = x + y
(x^2 * y)ln(e) = ln(x+y)
x^2 * y = ln(x+y)
x^2(dy/dx) + y(2x) = 1/(x+y) * (1 + dy/dx)
(dy/dx)[x^2  1/(x+y)] = 1/(x+y)  2xy
dy/dx = (1/(x+y)  2xy)/(x^2  1/(x+y))
or here: https://postimg.org/image/3k5ygbkxt/
This was marked wrong (online software). It doesn't care about simplest form and it was entered properly. So, what did I do wrong?
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