Rates of Change in Applied Concepts
AP Calculus BC · Flashcards · Application
AP CALCULUS BC · FLASHCARDS
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QUESTION
Evaluate
d
d
x
(
x
4
)
\frac{d}{dx}(x^4)
d
x
d
(
x
4
)
at
x
=
1
x = 1
x
=
1
.
QUESTION
Determine the rate of change for
f
(
x
)
=
x
2
f(x) = x^2
f
(
x
)
=
x
2
at
x
=
5
x = 5
x
=
5
.
QUESTION
Evaluate the derivative of
f
(
x
)
=
1
x
f(x) = \frac{1}{x}
f
(
x
)
=
x
1
at
x
=
1
x = 1
x
=
1
.
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ANSWER
−
1
x
2
-\frac{1}{x^2}
−
x
2
1
, so
f
′
(
1
)
=
−
1
f'(1) = -1
f
′
(
1
)
=
−
1
. Reciprocal function derivative using power rule.
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