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Consider the following.

f(x) = sqrt(x + 5), (−1, 2)

(a) Find the slope of the graph of f at the given point.

 Mar 23, 2021
 #1
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f(x) =    ( x +5)^(1/2)

 

f ' (x)   = ( 1/2) (x + 5)^(-1/2)

 

Slope  at  (-1,2)   =   (1/2) (-1 + 5)^(-1/2)  =  (1/2) (4)^(-1/2) =  (1/2) (1/2)  =   1  / 4

 

 

cool cool cool 

 Mar 23, 2021

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