MATH 221 In-Class Exercises Names______________________________
1. Find the
linearization, L(x),
of 
at the point x =
2. Find the value of each of the
following: 
.
2. Find the derivative, 
, of each of the
following and evaluate 
.
3. a)
Graph 
on a calculator and
get rough estimates for the three roots.
b) Using each of
the estimates from part a) apply Newton’s Method two times each to get better
approximations to each root. Recall the
.
c) You should not
use guesses of 1 or -1 in
4. a)
Graph 
using a calculator.
b) Find 
using implicit differentiation.
c) Find the equations of both tangent lines corresponding to x = 2.
d) What is the slope of the tangent line at x = 0?
e) At what points on the curve (give both x
and y coordinates) is 