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AP Calculus AB/BC
Unit 6 – Integration and Accumulation of Change
Topic 6.5
If the graph of the first derivative $f(x)$ of an integrally-defined function $h(x)$ changes from positive to negative at $x = l$, what can be concluded about $h(x)$ at $x = l$?
$h(x)$ is concave down at $x = l$.
$h(x)$ is concave up at $x = l$.
$h(x)$ has a relative minimum at $x = l$.
$h(x)$ has a relative maximum at $x = l$.
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AP Calculus AB/BC - 6.5 Interpreting the Behavior of Accumulation Functions Involving Area
Key terms
First Derivative
Changes from Positive to Negative
Concluded
Integrally-defined Function
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