Transcript AP Calculus Review 3.1-3.5
AP Calculus Review 3.1-3.5
3.1 Definition(s) of the Derivative
f
' (
x
) lim
h
0
f
(
x
h
)
f
(
x
)
h
f
' (
c
) lim
x
c f
(
x
)
x
c f
(
c
)
Relating f(x) and f’(x) Graphically
3.2 Types of NON-Differentiability
3.2 Types of NON-Differentiability • Not Continuous (Remember: Differentiability implies Continuity)
3.2 Types of NON-Differentiability • • Not Continuous (Remember: Continuity implies Differentiability) Cusp
3.2 Types of NON-Differentiability • • • Not Continuous (Remember: Continuity implies Differentiability) Cusp Corner
3.2 Types of NON-Differentiability • Not Continuous (Remember: Continuity implies Differentiability) • • • Cusp Corner Vertical Tangent (Note: A vertical tangent is NOT a vertical asymptote)
3.3 Rules for Differentiation •Power Rule • Product Rule • Quotient Rule
3.4 Rates of Change • Average Rate of Change • Motion Problems
3.5 Trig Function Derivatives • All six trig functions and their derivatives
Workbook Problems • Lesson 1 #1-4 • Lesson 2 #1-2 • Extra Sheet #5-7 and Examples #1-3 • Lesson 3 #2-4
Review Worksheets • • • • • Worksheet §3.1 ALL (will get on Friday) Worksheet §3.2 ALL Worksheet §3.3 #2, 3, 5, 6, 7 Worksheet §3.4 #2-5, 7, 10, 13, 14 Worksheet §3.5 #4-7