What to do
The linear approximation of a function
in a point
is
Find
We have that
. To find
, we must solve the equation
, where
for the variable
.
Hence,
are solution to this equations. With the knowledge,that
, the value must be
Find
We already know from part a), that
. Pluging in the point
gives
Find
We know that
Pluging in the point
gives
The linear approximation
Hence the linear approximation is