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Derivative review - product & quotient rules Flashcards | StudBud
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Derivative review - product & quotient rules
Derivative review - product & quotient rules
18 terms
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Calculus -- Derivatives #calculus
Flashcards
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Questions
18
Answers
1
If s(t) is the position function of an object, the second derivative of s(t) gives us . . . .
velocity
speed
2 headaches
acceleration
2
Differentiate the function below . . .
y' = cscxcotx
y' = sec2x
y' = secxtanx
y' = -cos2x
3
This function is not differentiable at x = 0 because there is a . . . .
vertical tangnent
cusp
discontinuity
corner
4
This function is not differentiable at x = 0 because there is a . . . .
cusp
discontinuity
corner
vertical tangent
5
The Quotient Rule: "low d-hi minus hi d-low, squared the ______ and away we go."
high
bottom
c
x
6
To find a horizontal tangent to a function
f
, take its derivative and . . .
simplify
set it equal to 0
run
set it equal to 1
7
The graph of the derivative of a function f(x) describes the _____ of f(x).
slope
asymptotes
life
symmetry
8
This function is not differentiable at x = 0 because there is a . . . .
discontinuity
corner
vertical tangent
cusp
9
This is the . . . .
Definition of the Derivative
Quotient Rule
Alternate Definition of the Derivative
Power Rule
10
Differentiate the function below . . .
y' = cotx
y' = sec2x
y' = secxtanx
y' = -csc2x
11
To differentiate the function y = 2xsinx we have to use the . . . .
Produce Rule
Power Rule
Product Rule
Quotient Rule
12
True or False: A function can be continuous but not differentiable at a point.
False
True
13
The absolute value of velocity is . . . .
nice
speed
negative
acceleration
14
Differentiate the function below . . .
y' = -sinx
y' = -csc2x
y' = cscxcotx
y' = -cot2x
15
Differentiate the function below . . .
y' = tanx + cotx
y' = 1
y' = sinx + cosx
y' = cosx - sinx
16
If s(t) is the position function of an object, the first derivative of s(t) gives us . . . .
a headache
acceleration
velocity
speed
17
The graph of the derivative of the function below would look like . . . .
a vertical line
a line with a negative slope
a line with a positive slope
a horizontal line
18
Differentiate the function below . . .
y' = -csc2x
y' = cotx
y' = sec2x
y' = -cscxcotx