- #1
MATH_IN_A_KHAN
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Hello! As of right now (10:13 PM), I've tried 9 combinations of points to solve this problem. It's a WebWork-based problem that's due in about an hour in a half. Any help would be very, very appreciated.
I was given this equation: ##ln(2y) = 2xy## and was asked to find the first and second derivative from implicit differentiation.
The first is ##2y/(y^-1-2x)##
The second is ##4 y^3 (-3+4xy)/(-1+2xy)^3##
These are both correct according to WebWork.
Now, for the final part of the problem, it wants me to find ##d^2y/dx^2 = 0## at ##(x,y) = (?, ?)##
- 3/(4x) was what I thought the right solution because it makes the numerator equal to zero, but WebWork wants only answers without variables
- Setting ##4 y^3 (-3+4xy)/(-1+2xy)^3## equal to zero and attempting to separate variables. Unsuccessful attempt.
- Messed around with WolframAlpha... also unsuccessful.
- Talked to friends in higher levels of math. No fruits either.
Could someone smarter than I provide some advice?
Homework Statement
I was given this equation: ##ln(2y) = 2xy## and was asked to find the first and second derivative from implicit differentiation.
The first is ##2y/(y^-1-2x)##
The second is ##4 y^3 (-3+4xy)/(-1+2xy)^3##
These are both correct according to WebWork.
Now, for the final part of the problem, it wants me to find ##d^2y/dx^2 = 0## at ##(x,y) = (?, ?)##
The Attempt at a Solution
- 3/(4x) was what I thought the right solution because it makes the numerator equal to zero, but WebWork wants only answers without variables
- Setting ##4 y^3 (-3+4xy)/(-1+2xy)^3## equal to zero and attempting to separate variables. Unsuccessful attempt.
- Messed around with WolframAlpha... also unsuccessful.
- Talked to friends in higher levels of math. No fruits either.
Could someone smarter than I provide some advice?