Slope Of A Line

To find the slope of the normal to the curve at , we first need to determine the derivative of with respect to , which gives us the slope of the tangent line at any point on the curve.

The derivative is calculated as follows:

Substituting into this derivative gives the slope of the tangent line at :

The slope of the normal line is the negative reciprocal of the slope of the tangent line. Therefore, the slope of the normal at is:

Hence, the correct answer is .