Let y be defined implicitly by the equation
\ln(3 y) = 4 xy .
Use implicit differentiation to find the first derivative
of y with respect to x .

\displaystyle \frac{dy}{dx} =

Use implicit differentiation to find the second derivative ofy with respect to x .

\displaystyle \frac{d^2y}{dx^2} =

Note: Your answer should only involve the variablesx and y .
You should simplify your answer as much as possible before entering
it into WeBWorK.

Find the point on the curve where\displaystyle \frac{d^2y}{dx^2} = 0 .

\displaystyle \frac{d^2y}{dx^2} = 0 at the point
(x,y) = ( ) .

Use implicit differentiation to find the second derivative of

Note: Your answer should only involve the variables

Find the point on the curve where

You can earn partial credit on this problem.