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Calculus Basic Derivative Review (No Chain) Flashcards | StudBud
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Calculus Basic Derivative Review (No Chain)
Calculus Basic Derivative Review (No Chain)
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Calculus -- Derivatives #calculus
Flashcards
21 cards
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Questions
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Answers
1
Is the function continuous and differentiable?
differentiable but not continuous
continuous but not differentiable
neither continuous nor differentiable
both continuous and differentiable
2
Differentiate the function below . . .
y' = -cot2x
y' = -sinx
y' = cscxcotx
y' = -csc2x
3
Differentiate the function below . . .
y' = -csc2x
y' = cotx
y' = -cscxcotx
y' = sec2x
4
The Quotient Rule: "low d-hi minus hi d-low over ______ squared."
x
c
low
high
5
To differentiate the function y = 2xsinx we have to use the . . . .
Produce Rule
Quotient Rule
Product Rule
Power Rule
6
Differentiate the function below . . .
y' = 7
y' = cosx - sinx
y' = tanx + cotx
y' = sinx + cosx
7
Differentiate the function below . . .
y' = -3
y' = -6x
y' = -3x3
y' = -6x2
8
This function is not differentiable at x = 0 because there is a . . . .
vertical tangent
discontinuity
cusp
corner
9
This is the . . . .
Definition of the Derivative
Alternate Definition of the Derivative
Power Rule
Quotient Rule
10
If s(t) is the position function of an object, the first derivative of s(t) gives us . . . .
acceleration
velocity
speed
a headache
11
This function is not differentiable at x = 0 because there is a . . . .
discontinuity
vertical tangent
asymptote
cusp
12
Are you ready to take this test?
Yes
I guess so
I will be after I study/review more
No
13
True or False: A function can be continuous but not differentiable at a point.
False
True
14
Differentiate the function below . . . .
y' = x4
y' = 4x5
y' = 5x4
y' = 5x
15
Differentiate the function below . . .
y' = cscxcotx
y' = secxtanx
y' = sec2x
y' = -cos2x
16
This function is not differentiable at x = 0 because there is a . . . .
cusp
vertical tangnent
discontinuity
asymptote
17
To find a horizontal tangent to a function f, take its derivative and . . .
set it equal to 0
set it equal to 1
run
simplify
18
The graph of the derivative of the function below would look like . . . .
a non-horizontal line
a bouncing ball
a parabola
a horizontal line
19
The graph of the derivative of a function f(x) describes the _____ of f(x).
slope
life
symmetry
asymptotes
20
Differentiate the function below . . .
y' = secxtanx
y' = -csc2x
y' = sec2x
y' = cotx
21
What is the average rate of change of
2
1/2
-2
1