MAT 271 Lab 3 Derivatives and Tangent Lines
For each function below in problem 1 and 2,
I. Symbolically:
a. Find the derivative at any x using
derivative rules,
b. Evaluate the derivative at the specified
points,
c. Specify all x-values where the derivati

Section 2.2
Definitions of Limits
In the previous section, we looked at using
calculations of secant slopes to approximate the
tangent slope. We did this by looking at what
value the secant slope approached as the
secant line moved closer to the tangent l

Review MAT 271 Test 2
1.
a)
Find the derivative of
b)
Find the equation of the tangent line to
2
f ( x ) 5 x 4x
.
f ( x ) 5 x 2 4x
at the point (2,12).
2. Find the derivative of the following functions.
a)
y = x*3x
b)
3 2 ex
y= x
2x 4
c)
y sin x
3. Give

M271 Review Test 3 3.10, 4.1 4.8
The resistance of a wire varies inversely as the area of the wire, i.e. the wider the wire, the
1.
easier it is to push electrons through it. The resistance of a particular type of wire is R =
250
r2
where r is the radius