Calculus -- implicit differentiation

Implicit Differentiation

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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.

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