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General Knowledge: Differentiation Flashcards | StudBud
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General Knowledge: Differentiation
General Knowledge: Differentiation
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Calculus -- Derivatives
Flashcards
16 cards
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Questions
16
Answers
1
The absolute value of velocity is . . . .
acceleration
negative
nice
speed
2
If s(t) is the position function of an object, the second derivative of s(t) gives us . . . .
velocity
speed
acceleration
2 headaches
3
This function is not differentiable at x = 0 because there is a . . . .
discontinuity
sharp turn
cusp
vertical tangent
4
To find a horizontal tangent to a function f, take its derivative and . . .
set it equal to 1
run
simplify
set it equal to 0
5
The graph of the derivative of a function f(x) describes the _____ of f(x).
slope
asymptotes
life
symmetry
6
Differentiate the function below . . .
y' = cosx - sinx
y' = tanx + cotx
y' = 7
y' = sinx + cosx
7
To differentiate the function y = 2xsinx we have to use the . . . .
Power Rule
Produce Rule
Quotient Rule
Product Rule
8
Differentiate the function below . . .
y' = -sinx
y' = -csc2x
y' = cscxcotx
y' = -cot2x
9
Differentiate the function below . . .
y' = -csc2x
y' = secxtanx
y' = sec2x
y' = cotx
10
Differentiate the function below . . .
y' = -6x
y' = -3
y' = -6x2
y' = -3x3
11
If s(t) is the position function of an object, the first derivative of s(t) gives us . . . .
velocity
speed
acceleration
a headache
12
Differentiate the function below . . .
y' = sec2x
y' = cscxcotx
y' = secxtanx
y' = -cos2x
13
True or False: A function can be continuous but not differentiable at a point.
False
True
14
This function is not differentiable at x = 0 because there is a . . . .
corner
cusp
discontinuity
vertical tangent
15
Differentiate the function below . . . .
\frac{dy}{dx}=x^4
\frac{dy}{dx}=4x^5
\frac{dy}{dx}=5x
\frac{dy}{dx}=5x^4
16
Differentiate the function below . . .
y' = -cscxcotx
y' = -csc2x
y' = cotx
y' = sec2x
