Find the slope of the graph of the function at the given point.
y = x^−1
The x y-coordinate plane is given. There is 1 curve and 1 line on the graph.
The curve enters the window in the first quadrant, goes down and right becoming less steep, passes through the point (5⁄6, 6⁄5) touching the line, and exits the window in the first quadrant.
The line enters the window in the first quadrant, goes down and right, passes through the point (5⁄6, 6⁄5) touching the curve, and ends at the approximate point (1.67, 0) on the x-axis.
Use the derivative feature of a graphing utility to confirm your results.