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DP 5th Year Math Flashcards | StudBud
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DP 5th Year Math
DP 5th Year Math
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1
Which of the following CAN mean derivative in calculus?
gradient of Mr/Ng's foot
gradient of a tangent
rate of change
\frac{dy}{dx}
2
If the y axis is distance and the x axis is time then the second derivative is...
distance
speed
acceleration
Today's lunch plans for Nanami
3
Using the chain rule, what is the last "inner function" we differentiate for the following \ln\left(e^{5+2x}\right)^5
5+2x
\ln\left(\right)^5
This question is just silly!
e^{5+2x}
4
Where the f'(x) = 0, the value at x is always a local min or local max?
True
False
5
To find the turning points of f(x) you should calculate ________.
Make f(x) equal to zero
Make f '' (x) = 0
Make f ' (x) = 0
The number of slices of pizza Kouta ate last year.
6
An inflection point tell us where _________.
f(x) is increasing and decreasing
Where the concavity of f(x) changes
A point in time where you say OMG!
the first derivative is equal to zero
7
Which of the following is the quotient rule for derivatives given u(x)/v(x) ?
\frac{\left(u'v-vu'\right)}{u^2}
\frac{vu'+uv'}{v^2}
\frac{\left(vu'-uv'\right)}{v^2}
u'v+vu'
8
e^x is the only function where f(x) = f'(x) for all x values.
True
False
9
When checking the following for global max and min, which of the following is NOT NEEDED?
Finding the local max and mins
finding the first derivative of f(x)
Calculating the second derivative of f(x)
Substituting the end points into f(x)