1. Chapter 16A

2. Please find the y-value when x = 2

3. Please find the derivative of the following...

4. Please find the derivative of…

6. Please find the equation of that tangent line
We need the following
A point
A slope
An equation

7. Please find the equation of that tangent line
What is our point?
(2, -3)

8. Please find the equation of that tangent line
What is our slope?
Our tangent line has a slope of -7

9. Please find the equation of that tangent line
An equation…
y = mx + b
(2, -3)
m = -7
-3 = (-7)(2) + b
-3 = b
y = -7x + 11
11 = b

10. y = -7x + 11
Normal Line

11. Please find the equation of the NORMAL line
We need the following
A point
A slope
An equation

12. Please find the equation of the NORMAL line
We need the following
A point
(2, -3)

13. Please find the equation of the NORMAL line
We need the following
A slope

14. The slopes have a product of -1.
Perpendicular.
The slopes have a product of -1.

15. Please find the equation of the NORMAL line
What is our slope?
Our NORMAL line has a slope of 1/7

16. Please find the equation of that tangent line
An equation…
y = mx + b
(2, -3)

17. y = -7x + 11

18. Find equation of the line normal to f(x) at (a, b)
When you see…
Find equation of the line normal to f(x) at (a, b)
You think…

19. Equation of the normal line

20. Homework
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