Wednesday, January 13
Announcements
WeBWorK #1 is now open
Due today at 9pm
Covers material from “Week 1”—see syllabus on course
web page
Together with the suggested problems (which are now
posted), these are your best way to practice for the in-class
quizzes
Quiz #1 will take place here on Friday, January 15 (second half
of class time)
Covers material from “Week 1”, just like WeBWorK #1
You must bring your student ID to class on every quiz day
You must take the quiz in the section you’re registered in
Wednesday, January 13
Clicker Questions
Clicker Question 1
Recalling properties of derivatives
Suppose that f (x) and g(x) are differentiable functions, and
f 0 (x) = g0 (x) for all x. What is the relationship between f and g?
A. f (x) is g(x) times a constant
B. f (x) is g(x) plus a constant
C. f (x) and g(x) add to 0
D. f (x) and g(x) are the same
function
E. no relationship, totally random
Clicker Question 2
An indefinite integral
Z
If a > 0 is a constant, what is
A.
ax dx?
ax+1
+C
x+1
B. ax + C
ax+1
+C
a+1
1 x
d
1 x
1 d(ax )
(log a)ax
D.
a + C, as
a +C =
=
log a
dx log a
log a dx
log a
C.
E. (log a)ax + C
Clicker Question 3
What’s the right question?
√
Which of the following indefinite integrals equals x 2x + 3 + C ?
Z
A.
Z
B.
Z
√
2x + 3 dx
√ 3 x + 3 dx
√
x
dx
2x + 3
Z
3x + 3
√
D.
dx
2x + 3
E. none of the above
C.
√
Indefinite integrals: sometimes
easier to check than find!
d √
x 2x + 3 + C
dx
√
1
2
= 1 · 2x + 3 + x · √
+0
2 2x + 3
1
2
2x + 3
+x· √
=√
2
2x + 3
2x + 3
3x + 3
=√
2x + 3