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Derivatives Flashcards | StudBud
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Derivatives
Derivatives
20 terms
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A way to understand and apply derivatives in calculus.
Flashcards
20 cards
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Practice quiz
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Questions
20
Answers
1
What's the equation of the tangent line of
f(x)=3x
2
+2
at the point
(2, 14)
?
y=12x-38
y=12x-10
y=6x+2
y=12x+12
2
The first derivative can be expressed as...
f(x)
dy/dx
d2y/dx2
f'''(x)
3
Which of the following is NOT a rule of this class?
Be respectful
Be responsible
Forget the plus C
Always do your best
4
Implicit differentiation is similar to...
Explicit differentiation
Chain rule
Quotient rule
Product rule
5
What is the purpose of the chain rule?
To find the anti-derivative
To create spam mail
To create shackles so prisoners cannot escape
To turn a complicated derivative into many easy derivatives
6
Where is Alyssa's happiest place on earth?
A lake
The mountains
New York City
Disneyland
7
Which rule would you use to differentiate the equation d/dx(uv)?
Euler's Rule
Product Rule
Quotient Rule
L'Hopital's Rule
8
What is a derivative?
The slope of the slope
Acceleration
Secant line
The rate of change
9
Who invented calculus?
George Clooney
Isaac Newton
Anaximander
Gottfried Leibniz
10
How do you spell the word that means rate of change?
derivative
darivative
derivitive
duhrivitive
11
What's Sarina's favorite animal?
Emperor penguin
Red Panda
Highland cow
Elephant
12
When does a derivative exist?
Corner
Vertical tangent
Cusp
Maximum
13
When does a derivative NOT exist?
Minimum
Discontinuity
Vertical tangent
Maximum
14
What is the derivative of csc(x)?
sec(x)tan(x)
-csc(x)cot(x)
-cos(x)cot(x)
-cot(x)
15
What is Mrs. Wells' favorite color?
Yellow
Green
Blue
Calculus
16
What is the derivative of x
2
?
2x
Pi
x
2
17
What's the derivative of a chocolate chip cookie?
Chocolate chips
The cookie monster
Milk
x2+3
18
d/dk [ln(sec(k))]
dy/dk= tan(k)sec(k)
dy/dk= 1/sec(k)
dy/dk= tan(k)
dy/dk= 1/tan(k)sec(k)
19
What is the derivative of 8x
3
+45x
2
-5x+6,254,098?
24x3+90x2-5x
24x2-90x+5
24x2+90x-5
2x4+15x3-2.5x2+6,254,098x+C
20
Which of the following is a derivative NOT used for?
Area under the curve
Max
Min
Determining convergence
