Linear Approximation

b521

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Jul 20, 2010
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Find the linear approximation of the function f(x) = ?(x +5) at a = 4
Use it to approximate the number ?6


I'm not really sure what this question is asking and could use a lot of help. Thanks.
 
Well I am not quite sure how to use it to approximate the number ?(6).

You were given the function f(x) = ?(x+5) , a = 4

1st step would be to find f'(x)

f '(X) = 1/2 (x+5)^(-1/2) (1)

= 1/(2?(x+5)

With Linear Approximation

L(x) = Plug "a" into f(x) and f '(x) and solve by adding f(x) f '(x) together

= ?(4+5) + 1/(2?(4+5))

=3 + 1/6 = 18/6 + 1/6 = 19/6

This is what I came up. Hope this helps. I am in no way an expert just a student striving to become a secondary education mathematics teacher. Hope this helps in some way or at the very least point you in the right direction.
 
Thanks for the walkthrough! I'll have to figure out what that approximation to the radical 6 means..
 
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