Use the method of Example 3 to find a general expression for the slope of a tangent line to each of the indicated curves. Then find the slopes for the given values of x. Sketch the curves and tangent lines.
![](https://test.transtutors.com/qimg/e190678c-e73d-444f-ab8a-b11b043a2df4.png)
EXAMPLE 3 Slope of tangent line at general point
Find the slope of a line tangent to the curve of y = 4x - x2 at the point (x1, y1) The points P and Q are
therefore
![](https://test.transtutors.com/qimg/bc986132-e69c-4046-941a-03e4ba4e38e0.png)
Here, we see that
therefore.