Skip to navigation
Skip to content
© 2015 Shmoop University, Inc. All rights reserved.
We speak student
Free Study Tools:
College

Videos

What is Shmoop?

Subscribe Now
Register
Login
Toggle navigation
Premium
Test Prep
Learning Guides
College
Careers
Video
Study Tools
Teachers
Courses
All of Shmoop
Algebra
Algebra II
Bestsellers
Bible
Biography
Biology
Calculus
Chemistry
Civics
Dr. Seuss
Driver's Ed
Economics
Finance
Geometry
Grammar
Literary Criticism
Literature
Music
Mythology
Poetry
PreAlgebra
PreCalculus
Famous Quotes
Shakespeare
Shakespeare Quotes
US History
Derivatives
Home
/
Calculus
/
Derivatives
/
Module Quizzes
/
A Slippery Slope True or False Quiz
Module Quizzes
/
A Slippery Slope True or False Quiz
Topics
×
Close
Cite This Source
MENU
Intro
Topics
Examples
Exercises
Quizzes
A Slippery Slope
True or False
Flashcards
Going Off On a Tangent
Rolle With It
Terms
Handouts
Best of the Web
Table of Contents
Derivatives: A Slippery Slope True or False
1.
Find the slope of the secant line between the two points shown on the graph of
f
(
x
) = cos(
x
):
> 1
True
False
2.
Let
f
(
x
) =
x
^{2}
 1. Find the slope of the secant line between the points (1,
f
(1)) and (2,
f
(
2
)).
> 1
True
False
3.
Which picture most closely resembles the limit definition of the derivative of
f
at
a
? >
True
False
4.
The derivative of
f
(
x
) = 
x
1 at
x
= 1 is > 0
True
False
5.
Let y =
f
(x) and assume
f'
(
a
) exists. Which of the following quantities must equal
f'
(
a
)? > $\frac{dx}{dy}\Big_{y = a}$
True
False
6.
If
x
is measured in cookies,
y
is measured in glasses of soda, and
z
is measured in slices of cake, then
is measured in
> slices of cake per glass of soda
True
False
7.
Use the limit definition to find the derivative of
f
(
x
) =
x
^{2}
+
x
at
x
= 2.
>
5 +
h
True
False
8.
Use the following table to estimate the derivative of
f
at
x
= 4.
> 0.25
True
False
9.
If
f
(1) = 12 peacocks and
f
(5) = 36 peacocks, find the average rate of change of
f
with respect to
x
on the interval from 1 to 5. The value of
x
is measured in chocolate bars. > 6 peacocks per chocolate bar
True
False
10.
Let
f
be a function. Which of the following statements is true? > The slope of
f
at
a
is the same thing as the derivative of
f
at
a
.
True
False
Submit
Advertisement
Advertisement
Advertisement
Logging outâ€¦