Final answer:
To determine the point of maximum curvature of the curve y = 3 ln(x), the second derivative of the function needs to be calculated and evaluated to find its maximum.
Step-by-step explanation:
The question asks about the point where the curve y = 3 ln(x) has maximum curvature. To find this, one can calculate the second derivative of the function and then determine where it is at its maximum. The curvature, κ, can be found using the formula κ = |y''| / (1 + (y')^2)^(3/2), where y' and y'' are the first and second derivatives of y with respect to x, respectively. Without going into the solution's specific calculations, the point of maximum curvature will be where the second derivative of the function reaches its peak value. Typically in calculus, this involves finding the critical points of the second derivative, determining whether they are maxima, and then evaluating the curvature at those points.