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Derivatives Flashcards | StudBud
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Derivatives
Derivatives
20 terms
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StudBud Administration
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A #calculus quiz to remember the basic #derivatives.
Flashcards
20 cards
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Practice quiz
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Host live
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Questions
20
Answers
1
The derivative of f(x) = cos(2x
2
) is ?
- 2xsin(2x2)
xsin(2x2)
4sin(2x2)
- 4xsin(2x2)
2
The derivative of y = ln(4x
2
)
1/ ( 4x2)
2 / x
8x / ( 4x2)
4 / ( 4x2)
3
The derivative of y = lnx is?
x2
- 1 / x
1 / x
1/ x2
4
The derivative of f(x) = cotx is?
- csc2x
cscxcotx
secxtanx
secx
5
What is the derivative of y = sinx?
cosx
tanx
-cosx
6
What is the derivative of y = tanx
cscxcotx
secxtanx
cscx
7
The formal definition of a derivative uses:
Limits
Answer 2 and 3
Slope
Trigonometry
8
What is the derivative of y = secx?
cosx
-sec2x
-secxtanx
secxtanx
9
To find the derivative of f(x) = x
2
y you must use what rule/s?
Power Rule and Quotient Rule
Power Rule and Product Rule
Power Rule
Product Rule and Constant Multiple Rule
10
What is the derivative of y = c, where c is a constant?
0
Not differentiable.
1
11
The derivative of f(x) = e
x
is?
e3
1
xe
ex
12
The derivative is a measurement of _____.
slope at a specific point.
average velocity .
instantaneous change of speed.
limits.
13
To use the chain rule you must first________.
Try all the other rules.
Make sure it a rational function.
Make sure it is a composite function.
14
What rule would you use to find the derivative of y = 2x?
Constant Rule
Constant Multiple Rule
Product Rule
15
To find the derivative we use the slope of the ______.
secant line to a curve
tangent line to a curve
16
The derivative of f(x) = e
3x
?
3e3x
e3x
3xex
17
After completing the quiz, you feel you __________.
feel confident.
must study more.
clarified questions.
18
What is the derivative of f(x) = cscx?
secxtanx
- cscxcotx
sec2x
- sec2x
19
The derivative of cosx is?
secx
tanx
sinx
- sinx
20
The derivative of log
3
(2x) is?
2 / (2xln3)
2 / (3ln2x)
1 / (xln3)
1 / (2xln3)