uses of the 1 st derivative – word problems
TRANSCRIPT
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Uses of the 1st Derivative – Word Problems
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Uses of the 1st Derivative – Word Problems
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Uses of the 1st Derivative – Word Problems
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Uses of the 1st Derivative – Word Problems
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Uses of the 1st Derivative – Word Problems
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Uses of the 1st Derivative – Word Problems
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Uses of the 1st Derivative – Word Problems
This is our slope
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Uses of the 1st Derivative – Word Problems
This is our slope
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Uses of the 1st Derivative – Word Problems
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Uses of the 1st Derivative – Word Problems
First get your derivative…
![Page 11: Uses of the 1 st Derivative – Word Problems](https://reader035.vdocuments.net/reader035/viewer/2022062518/5697bf7c1a28abf838c83fe6/html5/thumbnails/11.jpg)
Uses of the 1st Derivative – Word Problems
First get your derivative…
We set that derivative = to the required slope because that is essentially what the first derivative is…
![Page 12: Uses of the 1 st Derivative – Word Problems](https://reader035.vdocuments.net/reader035/viewer/2022062518/5697bf7c1a28abf838c83fe6/html5/thumbnails/12.jpg)
Uses of the 1st Derivative – Word Problems
First get your derivative…
We set that derivative = to the required slope because that is essentially what the first derivative is…Now solve for “x”…
![Page 13: Uses of the 1 st Derivative – Word Problems](https://reader035.vdocuments.net/reader035/viewer/2022062518/5697bf7c1a28abf838c83fe6/html5/thumbnails/13.jpg)
Uses of the 1st Derivative – Word Problems
First get your derivative…
We set that derivative = to the required slope because that is essentially what the first derivative is…Now solve for “x”…
![Page 14: Uses of the 1 st Derivative – Word Problems](https://reader035.vdocuments.net/reader035/viewer/2022062518/5697bf7c1a28abf838c83fe6/html5/thumbnails/14.jpg)
Uses of the 1st Derivative – Word Problems
First get your derivative…
We set that derivative = to the required slope because that is essentially what the first derivative is…Now solve for “x”…
![Page 15: Uses of the 1 st Derivative – Word Problems](https://reader035.vdocuments.net/reader035/viewer/2022062518/5697bf7c1a28abf838c83fe6/html5/thumbnails/15.jpg)
Uses of the 1st Derivative – Word Problems
First get your derivative…
We set that derivative = to the required slope because that is essentially what the first derivative is…Now solve for “x”…
Now plug those values into the original function to get the points…
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Uses of the 1st Derivative – Word Problems
First get your derivative…
We set that derivative = to the required slope because that is essentially what the first derivative is…Now solve for “x”…
Now plug those values into the original function to get the points…
Points are ( 4 , - 43 ) and ( -4 , 45 )
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Uses of the 1st Derivative – Word Problems
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Uses of the 1st Derivative – Word Problems
First get your derivative…
![Page 19: Uses of the 1 st Derivative – Word Problems](https://reader035.vdocuments.net/reader035/viewer/2022062518/5697bf7c1a28abf838c83fe6/html5/thumbnails/19.jpg)
Uses of the 1st Derivative – Word Problems
First get your derivative…
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Uses of the 1st Derivative – Word Problems
First get your derivative…
Velocity = 8
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Uses of the 1st Derivative – Word Problems
![Page 22: Uses of the 1 st Derivative – Word Problems](https://reader035.vdocuments.net/reader035/viewer/2022062518/5697bf7c1a28abf838c83fe6/html5/thumbnails/22.jpg)
Uses of the 1st Derivative – Word Problems
First get your derivative…
![Page 23: Uses of the 1 st Derivative – Word Problems](https://reader035.vdocuments.net/reader035/viewer/2022062518/5697bf7c1a28abf838c83fe6/html5/thumbnails/23.jpg)
Uses of the 1st Derivative – Word Problems
First get your derivative…