Uses of the 1 st Derivative – Word Problems.

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Presentation transcript:

Uses of the 1 st Derivative – Word Problems

This is our slope

Uses of the 1 st Derivative – Word Problems This is our slope

Uses of the 1 st Derivative – Word Problems

First get your derivative…

Uses of the 1 st Derivative – Word Problems First get your derivative… We set that derivative = to the required slope because that is essentially what the first derivative is…

Uses of the 1 st 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”…

Uses of the 1 st 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”…

Uses of the 1 st 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”…

Uses of the 1 st 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…

Uses of the 1 st 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 )

Uses of the 1 st Derivative – Word Problems

First get your derivative…

Uses of the 1 st Derivative – Word Problems First get your derivative…

Uses of the 1 st Derivative – Word Problems First get your derivative… Velocity = 8

Uses of the 1 st Derivative – Word Problems

First get your derivative…

Uses of the 1 st Derivative – Word Problems First get your derivative…