1. Mrs. Rivas International Studies Charter School.Objectives: slopes and equations 1.Find slopes and equations of tangent lines. derivative of a function 2.Find the derivative of a function.

2. Slopes and Equations of Tangent Lines Mrs. Rivas International Studies Charter School. secant line The average rate of change between any two points on the graph of a function is the slope of the line containing the two points. We call this line the secant line.

3. Slopes and Equations of Tangent Lines Mrs. Rivas International Studies Charter School.

4. Mrs. Rivas International Studies Charter School. Slope of the Tangent Line to the Curve at a Point

5. Mrs. Rivas International Studies Charter School. Example 1 Finding the Slope of a Tangent Line At the point (4, 12), a = 4.

6. Mrs. Rivas International Studies Charter School. Example 2 Finding the Slope-Intercept Equation of a Tangent Line We begin by finding the slope of the tangent line to the graph at (1, 1).

7. Mrs. Rivas International Studies Charter School. Example 2 Finding the Slope-Intercept Equation of a Tangent Line

8. Mrs. Rivas International Studies Charter School. The Derivative of a Function

9. Mrs. Rivas International Studies Charter School. Example 2 Finding the Derivative of a Function

10. Mrs. Rivas International Studies Charter School. Example 2 Finding the Derivative of a Function (continued) Find the slope of the tangent line to the graph of

11. Mrs. Rivas International Studies Charter School Section 11-4 Pg. 1080 # 2-28 Odd