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Find the derivative of f.

f(x) = x^2 − 4x + 3

a. f '(x) =?

b. Use the derivative to determine any points on the graph of f at which the tangent line is horizontal. Use a graphing utility to verify your results. (If an answer does not exist, enter DNE.)

(x, y)=?

 Mar 23, 2021
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derivative =  2x-4    (this is the slope of the line for any given'x' value)

 

horizontal line has slope = 0        solve   0 = 2x-4     to find where line is horizontal

                                                                          use the 'x' value in the ORIGINAL equationto calculate the 'y' value

 Mar 23, 2021

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