First HP - implicit differentiation and logarithmic differentiation
Good day everyone!
I can't understand how to do implicit differentiation and logarithmic differentiation on the first.
For example, I will try to find y' for this equation.
x ^ 2 + y ^ 2 = ln (x + y) ^ 2
Manually fix the issue, I know that the answer is
y'= (x ^ 2 - xy + ln (x + y)) / (y ^ 2 + XY - ln (x + y))
I hope you can help me please!
Thank you!
Hello
There is no specific order for it. Basically, it's the steps:
1. everything on one side
2. store in a variable
3-dx/dy
Example:
EQ: = x ^ 2 + y ^ 2 - ln (x + y) ^ 2
EQ '/(EQ,y)' (or diff (eq) /diff(eq,y))
Then simplify your result.
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