Question

At what point does the curve have maximum curvature? y = 7 ln(x)at what point does the curve have maximum curvature? y = 7 ln(x)

A) x = 1
B) x = 2
C) x = e
D) x = 1/e

Answer 1

The curve has maximum curvature at the point x = 0.

Step-by-step explanation:

The curve has maximum curvature at the point where the second derivative is equal to zero.

The given function is y = 7ln(x). Taking the second derivative of this function, we get:

y'' = -7/x^2

To find the point where y'' = 0, we solve:

-7/x^2 = 0

x^2 = 0

x = 0

Therefore, the curve has maximum curvature at x = 0.