Skip to navigation
Skip to content
© 2016 Shmoop University, Inc. All rights reserved.
We speak student
Premium Shmoop

Free Videos
Register
Login
Toggle navigation
Premium
Test Prep
Learning Guides
College
Careers
Video
Essay Lab
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
Movies
Music
Mythology
Physics
Poetry
PreAlgebra
PreCalculus
Famous Quotes
Shakespeare
Shakespeare Quotes
US History
The Game of Shmoop
Today in History
Infographics
Derivatives
Home
/
Calculus
/
Derivatives
/
Module Quizzes
/
A Slippery Slope True or False Quiz
Module Quizzes
/
A Slippery Slope True or False Quiz
SHMOOP PREMIUM
Topics
SHMOOP PREMIUM
SHMOOP PREMIUM
×
Close
Cite This Source
MENU
Intro
Topics
Examples
Exercises
Quizzes
A Slippery Slope
True or False
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
)? >
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
Logging out…