Question

the linearization of the function f= sqrt(x) at x =9 is?

Answer 1

L(x)= f(a)+f'(a)(x-a) just plug 9 in for a.

Answer 2

L(9)=3-1/6(x-9) is the answer i believe

Answer 3

Oo ... i think @chemENGINEER is right ... i have been doing lot of above stuffs ...

Answer 4

the correct ans according to the practice test i am looking at is.

y= x/6 + 3/2, and the approximation of sqrt(8.5) by the linearization is 2.9167

Answer 5

now put x=8.5

is that you are asking for?

Answer 6

looks like i really screwed up above,
i took the point as 0 myself and took the function as (1+x)^(1/2)
(x)^(1/2) = 3 + (x-9)/6 same as above
= 3/2 + x/6

Answer 7

you must have misread chemengineer .. (x-9) was at numerator