Derivative Calculus: What differentiation technique to use?

Question	Answer
Image: db90f4e6-8c99-44a1-b263-8a1453d23c50.PNG (image/PNG)	Chain Rule
Image: e7dd7141-44f8-411c-afe4-e395b768d36b.PNG (image/PNG)	Product Rule; because you see two functions here
Image: a11441e7-7028-415d-af81-6277c4a871d4.PNG (image/PNG)	Quotient Rule
Image: cbb0ce81-8372-4c80-9fe7-3180f123aa14.PNG (image/PNG)	Implicit Differentiation
Image: 11a6c3be-9347-476a-9b43-fc697fa2606c.PNG (image/PNG)	Chain Rule
How far has the particle traveled when t=2 seconds? Image: 313ab69a-5602-4b11-be85-f6fc4941e613.PNG (image/PNG)	6 units
What is the significance of this equation? Image: d4013928-432c-478d-b886-9fbfa4905a8f.PNG (image/PNG)	Instantaneous acceleration
what happens to the particle when t=1s? Image: cc477378-3077-492f-b3a6-a15283849809.PNG (image/PNG)	It changes direction
what does this sign diagram tells you? Image: 6984fa52-d2be-4860-8d3f-22cc132feb9a.PNG (image/PNG)	It always accelerates

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