Curvature is a measure of how much a curve deviates from a straight line.
To find the curvature of a function, you can use the formula: k = |y''| / (1 + y'^2)^3/2, where y'' is the second derivative of the function and y' is the first derivative.
The equation for the curvature of y=sec x is k = |sec x * tan x| / (1 + sec^2 x)^3/2.
A positive curvature indicates that the curve is bending towards the positive y-axis, while a negative curvature indicates that the curve is bending towards the negative y-axis. The magnitude of the curvature represents how sharply the curve is bending.
Yes, the curvature of y=sec x can be negative. This occurs when the curve is bending towards the negative y-axis, as mentioned in the previous answer.