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Duplicate of Calculus Chapter 3 Flashcards | StudBud
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Duplicate of Calculus Chapter 3
Duplicate of Calculus Chapter 3
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Calculus -- Derivatives #calculus
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Questions
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1
If s(t) is the position function of an object, the second derivative of s(t) gives us . . . .
2 headaches
speed
acceleration
velocity
2
This is the . . . .
Alternate Definition of the Derivative
Quotient Rule
Definition of the Derivative
Power Rule
3
Differentiate the function below . . . .
y' = 5x4
y' = 5x
y' = x4
y' = 4x5
4
If s(t) is the position function of an object, the first derivative of s(t) gives us . . . .
speed
acceleration
a headache
velocity
5
Differentiate the function below . . .
y' = -6x
y' = -3
y' = -3x3
y' = -6x2
6
To find a horizontal tangent to a function f, take its derivative and . . .
set it equal to 1
simplify
run
set it equal to 0
7
The Quotient Rule: "low d-hi minus hi d-low over ______ squared."
c
x
high
low
8
Differentiate the function below . . .
y' = secxtanx
y' = sec2x
y' = -csc2x
y' = cotx
9
To differentiate the function y = 2xsinx we have to use the . . . .
Quotient Rule
Produce Rule
Power Rule
Product Rule
10
The graph of the derivative of a function f(x) describes the _____ of f(x).
symmetry
slope
asymptotes
life
11
Differentiate the function below . . .
y' = -cscxcotx
y' = sec2x
y' = -csc2x
y' = cotx
12
Differentiate the function below . . .
y' = -cot2x
y' = -sinx
y' = -csc2x
y' = cscxcotx
13
Differentiate the function below . . .
y' = cosx - sinx
y' = tanx + cotx
y' = sinx + cosx
y' = 7
14
True or False: A function can be continuous but not differentiable at a point.
True
False
15
Differentiate the function below . . .
y' = cscxcotx
y' = sec2x
y' = secxtanx
y' = -cos2x