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Duplicate of Derivatives Flashcards | StudBud
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Duplicate of Derivatives
Duplicate of Derivatives
17 terms
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StudBud Administration
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A #calculus quiz to remember the basic #derivatives.
Flashcards
17 cards
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Practice quiz
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Questions
17
Answers
1
What is the derivative of y = c, where c is a constant?
Not differentiable.
1
0
2
The derivative of f(x) = cos(2x
2
) is ?
- 2xsin(2x2)
- 4xsin(2x2)
xsin(2x2)
4sin(2x2)
3
Which of these functions require a u - substitution?
cos(x)/sin(x)
x2cos(x)
sqrt(x)
cos(x2-5x)
4
y = x
2
sin(x) Find the derivative.
x(2sin(x) + xcos(x))
2xcos(x) + x2sin(x)
x2 cos(x) + 2xsin(x)
2x cos(x)
5
To find the derivative of f(x) = x
2
y you must use what rule/s?
Power Rule and Quotient Rule
Product Rule and Constant Multiple Rule
Power Rule
Power Rule and Product Rule
6
f(x) is 3sin(x) + 5x
2
What is f''(x)?
3cos(x) + 10x
3sin(x) + 10
-3sin(x) + 10
-3sin(x)
7
After completing the quiz, you feel you __________.
must study more.
feel confident.
clarified questions.
8
What is the derivative of y = sinx?
tanx
cosx
-cosx
9
Which is the equation of the line tangent to y = x
2
-4x at the point (3,-3)
y + 3 = 2(x - 3)
y + 3 = 3(x - 3)
y + 3 = -3(x - 3)
y + 3 = -2(x - 3)
10
The derivative of cosx is?
tanx
secx
sinx
- sinx
11
y
2
+ 5x
2
= 10 Find dy/dx
10x/y
-5x
-10x/y
-5x/y
12
The derivative of f(x) = e
3x
?
3xex
e3x
3e3x
13
The derivative of y = ln(4x
2
)
2 / x
4 / ( 4x2)
1/ ( 4x2)
8x / ( 4x2)
14
To find the derivative we use the slope of the ______.
secant line to a curve
tangent line to a curve
15
The derivative is a measurement of _____.
slope at a specific point.
instantaneous change of speed.
limits.
average velocity .
16
The derivative of f(x) = e
x
is?
1
xe
e3
ex
17
The derivative of y = lnx is?
1/ x2
x2
1 / x
- 1 / x
