Ferrismath.com

Unit 4: Applications of Derivatives

Derivatives are powerful tools for solving problems.

 

4A Tangent Lines

Explore iconNewton's Method*
Practice
img

p120(27, 29, 31, 32)
p140(11, 12, 17-22)
*p147(41-48)
* p155(27-35odd)

img Throughout Ch 3
*Sections 4.5
img

Tangent Line
2011 AB #5a
2011 BC #1b


4B Mean Value Theorem

Practice
img

p.192(15-24, 39-42)

img Sections 4.2
img

Mean Value Theorem
2011 AB #4d

4C Extrema

Notes
rapt

"Brute Force" method
1st Derivative Test
2nd Derivative Test

img

Max and Min values

Practice
img

p.185(1-17odd, 36, 45-48)
p.192 (1-14odd, 35-37)
p.203(1-25odd, 41-44)

img Sections 4.1, 4.3

4C+ Optimizations

Notes
rapt

Optimization Notes

img


Optimizations 1
Optimizations 2
Optimizations 3
Optimizations 4

Practice
img

p.214(any 12)

img Sections 4.4

 

4D Related Rates

Practice
img

p.237(1, 2, 11-36 any 10)

img Sections 4.6
img

Intro to related rates
Related rates 2
Ladder problem

4E* L'Hôpital's Rule

Practice
img

p.423(1-40 any 12)

img Sections 8.2
img

Intro to L'Hôpital's
L'Hôpital's ex1
L'Hôpital's ex2
L'Hôpital's ex3

 

 

 

 

©2009 Ferrismath.com