Rate of Change at a Point
AP Calculus BC · Flashcards · Recall
AP CALCULUS BC · FLASHCARDS
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QUESTION
What is the geometric interpretation of the instantaneous rate of change?
QUESTION
What is the formula to find the derivative of
f
(
x
)
f(x)
f
(
x
)
using limits?
QUESTION
State the derivative definition for instantaneous rate of change at
x
=
a
x = a
x
=
a
.
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ANSWER
f
′
(
a
)
=
d
d
x
f
(
x
)
∣
x
=
a
f'(a) = \frac{d}{dx}f(x)|_{x=a}
f
′
(
a
)
=
d
x
d
f
(
x
)
∣
x
=
a
. The derivative evaluated at the specific point.
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