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Understanding derivatives Flashcards | StudBud

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If f''(x) < 0 we know the graph...

Stationary points are found using....

Understanding derivatives

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Calculus derivatives first second max min

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Answers

1
Stationary points are found using....
none of these
f''(x)
f(x)
f'(x)
2
If f''(x) < 0 we know the graph...
is concave down.
has a local maximum.
has a local minimum.
is concave up.
3
The second derivative test can be used to...
find slope of tangent lines.
determine increasing/decreasing.
classify stationary points.
find stationary points.
4
f'(x) > 0 tells us...
f(x) is increasing
f(x) has a stationary point
f(x) is decreasing
f(x) is concave up
5
The slope of the tangent line is found by using...
f''(x)
f(x)
f'(x)
f'''(x)
6
The slope of a normal line is...
always zero.
parallel to the tangent line.
the same as the tangent line.
perpendicular to the tangent line.
7
The FIRST derivative test can be used to...
classify stationary points.
find stationary points.
find slope of tangent lines.
determine increasing/decreasing.
8
An inflexion point occurs when...
there is a change in concavity.
f'(x) = 0
there is a change from increasing to decreasing.
f''(x) = 0
9
Inputing values into f''(x) outputs...
y-values.
slopes of tangents.
stationary points.
concavity.
10
The first derivative can be used to...
compute y-values
determine increasing/decreasing
determine concavity
find zeros