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.
This site uses cookies to help personalise content, tailor your experience and to keep you logged in if you register.
By continuing to use this site, you are consenting to our use of cookies.