Chapter 12.3, Problem 5E

To determine

Find the slope of the graph at given point.

Answer to Problem 5E

The approximate slope of the curve at point $(x,y)$ is $\text{Slope}=0$

Explanation of Solution

Given:

The graph given is:

  

Since, the slope of tangent drawn at any point is

  $\text{Slope}=\frac{\text{change in y}}{\text{change in x}}$

Now, from the above graph, the tangent is parallel to $x$ axis. So, there is no change in $y$ and hence by the above formula of slope of the tangent will be zero.

Therefore, the approximate slope of the curve at point $(x,y)$ is $\text{Slope}=0$