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MTH 181 Post-Exam 3 Quiz Flashcards | StudBud
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MTH 181 Post-Exam 3 Quiz
MTH 181 Post-Exam 3 Quiz
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This Quiz will cover content up to Exam 3 in MTH 181.
Flashcards
27 cards
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Questions
27
Answers
1
Unit 3.5 The Shape of a Graph:
MUST
CANNOT
MIGHT
2
Unit 2.7 Derivatives of Inverse Functions:
find the derivative of
f\left(x\right)=\cos^{-1}\left(x\right)
\frac{1}{\sqrt{1-x^2}}
\frac{1}{1+x^2}
-\frac{1}{\sqrt{1-x^2}}
\frac{1}{\left|x\right|\sqrt{1-x^2}}
3
Unit 3.3 Maxima and Minima:
CANNOT
MUST
MIGHT
4
Unit 2.9 Derivatives of Exponential and Logarithmic Functions:
find the derivative of the given function.
5^x\ln\left(5\right)+\frac{1}{x\ln\left(5\right)}
5^x\ln\left(5\right)+\frac{1}{x}+\frac{1}{x\ln\left(5\right)}
5\ln\left(x\right)+\frac{1}{x}+\frac{5}{x\ln\left(5\right)}
5
Unit 1.1 A Preview of Calculus Review:
4 units per second
6 units per second
3 units per second
12 units per second
6
Unit 2.3 Basic Differentiation Rules:
Given
f\left(x\right)=\pi+2x^4+\frac{1}{x^2}
, find
f'\left(x\right)
.
f'\left(x\right)=8x^3+2x^{-3}
f'\left(x\right)=8x^3-2x^{-3}
f'\left(x\right)=1+8x^3-2x^{-3}
f'\left(x\right)=\pi+8x^3+2x^{-3}
7
Unit 2.1 Defining the Derivative:
Set up the limit definition of the derivative for
the
following function.
\frac{\frac{1}{3-2\left(t+h\right)}-\frac{1}{3-2t}}{h}
\frac{\frac{1}{3-2\left(t+h\right)}+\frac{1}{3-2t}}{h}
\frac{\frac{1}{3-2\left(t-h\right)}-\frac{1}{3-2t}}{h}
8
Unit 1.4 Evaluating Limits Analytically Review:
Evaluate the limit below.
\frac{1}{48}
\frac{1}{7}
\frac{2}{3}
0
9
Unit 1.2 Evaluating Limits Graphically and Numerically
Review:
ONLY EVALUATE PART (a)
4
-2
8
-8
10
Unit 2.5 Derivatives of Trigonometric Functions:
find the derivative of the given function.
\sin^2\left(θ\right)-\cos^2\left(θ\right)
\cos^2\left(θ\right)-\sin^2\left(θ\right)
\sin^2\left(θ\right)+\cos^2\left(θ\right)
\cos^2\left(x\right)-\sin^2\left(x\right)
11
Unit 3.2 Linear and Quadratic Approximation: what is better an approximation, linear or quadratic?
Quadratic Approximation
Neither!
Linear Approximation
12
1.5 Squeeze Theorem and Trigonometric Limits
Review:
Evaluate the limit below.
1
0
-1
DNE
13
Unit 3.6 Applied Optimization
: what is the objective function for the following problem?
A=xy
SA=x^2y
V=2x^2y
V=xy
14
Select all that apply: Which of the following accurately describes Azrael
Vegetarian
Wordscapes champion
Falafel addict
Golf player
15
Unit 2.8 Implicit Differentiation:
how do we denote the derivative of y in respect to x.
Δx
Δy
\frac{dy}{dx}
\frac{dx}{dy}
16
Unit 3.1 Differentials:
dy=\left(12x-5\right)dx
dy=\left(6x^2-5x\right)dx
dy=12x-5dx
dx=\left(12x-5\right)dy
17
What concert did Azrael go to this semester?
Twenty One Pilots
mxmtoon
Nicki Minaj
Post Malone
18
Unit 1.6 Limits at Infinity Review:
Evaluate the limit below.
0
DNE
-\frac{7}{2}
∞
19
Unit 3.4 The Mean Value Theorem:
MIGHT
MUST
CANNOT
20
Unit 2.6 The Chain Rule:
take the derivative of the function,
f\left(x\right)=\sin^4\left(2x^5+\pi\right)
4\sin^3\left(2x^5+\pi\right)\cos\left(2x^5+\pi\right)\left(10x^4\right)
4\sin^3\left(\left(2x^5+\pi\right)\right)
4\cos^4\left(2x^5+\pi\right)\left(10x^4\right)
21
Unit 1.3 The Limit Laws Review:
MIGHT
CANNOT
MUST
22
Unit 2.4 Derivatives as Rates of Change:
What is the velocity function of the following problem?
12t+3
0
12
23
What instrument(s) did Hope play in high school?
Bassoon
Saxophone
Mellophone
Flute
24
What does Hope want for her birthday?
Crocs
For Brendon to answer her mentee messages with an actual response...
A commercial rotisserie chicken over for the 14th floor of rhodes tower
Espresso machine
25
Unit 1.7 Continuity:
CANNOT
MIGHT
MUST
26
Unit 1.8 Intermediate Value Theorem:
The function is not differentiable
The function does not exist
The function is not continuous
27
Unit 2.2 Differentiability & the Derivative as a Function:
At which values of
x
is
f\left(x\right)
not differentiable?
2
4
6
0
