- #1
RoyalFlush100
- 56
- 2
Homework Statement
I am told to find dy/dx by implicit differentiation where:
e^(x^2 * y) = x + y
Homework Equations
The above equation and the ln of it.
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?