When x = 3, this expression is equal to: 0.153846

So the slope of the tangent at x = 3 is 0.153846.

The slope of the normal at x = 3 is given by:

So the equation of the normal is given by:

(When x = 3, y = 0.9828)

y − 0.9828 = -6.5(x − 3) or

y = -6.5x + 20.483