Question

At what point does the curve have maximum curvature? y = 6ex

A) x = 0
B) x = 1
C) x = -1
D) x = 2

Answer 1

The function y = 6ex does not have a point of maximum curvature.

Step-by-step explanation:

The maximum curvature of a curve is found at the points where the second derivative of the function is equal to zero. In this case, we need to find the second derivative of the function y = 6ex.

The first derivative of y = 6ex is y' = 6ex, and the second derivative is y'' = 6ex.

We set y'' = 0 and solve for x: 6ex = 0. Since e raised to any power will never be zero, there is no value of x for which the second derivative is equal to zero. Therefore, the function y = 6ex does not have a point of maximum curvature.