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AP Calc Unit 3.notebook
1
October 05, 2018
Sep 269:05 PM
2. The Quotient Rule:
If a function is the quotient of two differentiable functions
then the derivative is “the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator, all divided by the denominator, squared.
Low di Hi Hi di LowLow Low
Sep 269:16 PM
EX #2: Use the quotient rule to differentiate.
A) B)
AP Calc Unit 3.notebook
2
October 05, 2018
Sep 288:52 AM
C) D)
Sep 288:52 AM
C) D)
AP Calc Unit 3.notebook
3
October 05, 2018
Oct 411:30 AM
Sep 269:32 PM
EX #3: Find an equation of the tangent line to the graph of f at the point
A) B)
C) D)
AP Calc Unit 3.notebook
4
October 05, 2018
Oct 88:26 PM
EX #4: Use the quotient rule to develop the rules for the remaining four trigonometric functions. Rewrite each of the functions in terms of sine and cosine and differentiate.
A)
B)
C)
D)
Oct 88:45 PM
Write the derivatives for all six trigonometric functions.
AP Calc Unit 3.notebook
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October 05, 2018
Sep 269:41 PM
EX #6: Using the Constant Multiple Rule to Rewrite
Function Rewrite Differentiate Simplify
Sep 269:56 PM
Higher Order Derivatives
Position function
Velocity function
Acceleration function
First derivative:
Second derivative:
Third derivative:
Fourth derivative:
Did you realize that it is possible to take the derivative of a derivative? We will need this ability in the study of particle motion and objects in motion, especially related to physics in the near future.
AP Calc Unit 3.notebook
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October 05, 2018
Sep 2610:10 PM
A.)
B.)
EX #6: For each of the following, find the second derivative.
Jul 2711:19 AM
C.)
D.)
AP Calc Unit 3.notebook
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October 05, 2018
Oct 88:59 PM
F)
E)
Oct 89:00 PM
EX #7: Calculate the derivative using the values in the table.
A) B)
C) where D) where
AP Calc Unit 3.notebook
8
October 05, 2018
Oct 89:07 PM
EX #8: Write the equation of the line tangent to the graph of when
Oct 211:19 PM
Homework:
p126 #s 5,6,7,9,19,20,43
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