Final answer:
The curvature of a curve at a point is a measure of how much the curve deviates from being a straight line at that point. To find the curvature at a specific point, we need to calculate the derivative of the curve at that point and substitute it into the curvature formula.
Step-by-step explanation:
Curvature of a Curve
The curvature of a curve at a point is a measure of how much the curve deviates from being a straight line at that point. It is calculated using the formula curvature = |dy/dx| / (1 + (dy/dx)^2)^(3/2) where dy/dx represents the derivative of the curve at the point.
To find the curvature at the point (1, 1), we need to find the derivative of the curve at that point. If the equation of the curve is given, we can differentiate it with respect to x and substitute x = 1 to find dy/dx. Then we can substitute the value of dy/dx into the curvature formula to calculate the curvature.