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Calculus Basic Derivative Review- Intro Ch. 3 Flashcards | StudBud
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Calculus Basic Derivative Review- Intro Ch. 3
Calculus Basic Derivative Review- Intro Ch. 3
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Calculus -- Derivatives #calculus
Flashcards
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Questions
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Answers
1
Differentiate the function below . . . .
y' = 5x4
y' = 5x
y' = x4
y' = 4x5
2
This function is not differentiable at x = 0 because there is a . . . .
discontinuity
corner
vertical tangnent
cusp
3
Differentiate the function below . . .
y' = -csc2x
y' = sec2x
y' = secxtanx
y' = cotx
4
Differentiate the function below . . .
y' = -3
y' = -6x
y' = -3x3
y' = -6x2
5
If s(t) is the position function of an object, the first derivative of s(t) gives us . . . .
velocity
a headache
acceleration
speed
6
The graph of the derivative of the function below would look like . . . .
a non-horizontal line
a horizontal line
little tangent lines with different slopes at every point
a parabola
7
True or False: A function can be continuous but not differentiable at a point.
True
False
8
To differentiate the function y = 2xsinx we have to use the . . . .
Quotient Rule
Product Rule
Produce Rule
Power Rule
9
This function is not differentiable at x = 0 because there is a . . . .
vertical tangent
discontinuity
cusp
corner
10
If s(t) is the position function of an object, the second derivative of s(t) gives us . . . .
speed
velocity
2 headaches
acceleration
11
The graph of the derivative of a function f(x) describes the _____ of f(x).
life
symmetry
asymptotes
slope
12
Differentiate the function below . . .
y' = cosx - sinx
y' = 7
y' = tanx + cotx
y' = sinx + cosx
13
This is the . . . .
Quotient Rule
Definition of the Derivative
Alternate Definition of the Derivative
Power Rule
14
This function is not differentiable at x = 0 because there is a . . . .
vertical tangent
corner
cusp
discontinuity