Calculus -- implicit differentiation
Implicit Differentiation
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http://tutorial.math.lamar.edu/Classes/CalcI/ImplicitDIff.aspx
https://www.mathsisfun.com/calculus/implicit-differentiation.html
http://www.mathcentre.ac.uk/resources/uploaded/mc-ty-implicit-2009-1.pdf
https://www.varsitytutors.com/ap_calculus_ab-help/implicit-differentiation
https://osbournparkhs.pwcs.edu/common/pages/DisplayFile.aspx?itemId=6251288 (AP level ?'s)
http://www.free-test-online.com/ap/Implicit_Differentiation.html (AP level ?'s)
https://www.somersetcanyons.com/ourpages/auto/2017/11/15/50787650/AP%20Problems%20-%20Implicit%20Differentiation.pdf (AP level ?'s)
On your own paper:
Reflect on Implicit Differentiation Name: ___________________
Underlined terms represent Mathematical Habits of Mind and Interaction.
Elaborations:
1) Explain the steps needed to solve a problem by implicit differentiation.
2) Select 5 of the statements below and complete.
Evidence (finding errors)
a) Metacognition and Reflection -- I used to think ________ but now I think________.
b) I made a mistake, but now I understand ________.
c) My classmate and I debated about the math concept ________, and we determined that ________.
Details:
d) Today, I noticed that it is important to persevere when learning math. For example, ________.
Elaborations (explain & describe):
e) Carefully noting mathematical notation helped me to understand ________.
f) I was stuck, but I now I understand ________.
g) During this lesson I was able to make sense of the following math concept: ________.
h) After a conversation with my classmates, I now understand multiple ways to approach ________. (Please list the multiple methods.)
i) Describe the differences and similarities between implicit and explicit differentiation.
j) Describe when implicit differentiation is a prefered method and give an example.