Rates of Change in Applied Concepts
AP Calculus AB · Flashcards
AP CALCULUS AB · FLASHCARDS
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QUESTION
Determine the derivative of
f
(
x
)
=
3
x
f(x) = \frac{3}{x}
f
(
x
)
=
x
3
.
QUESTION
Determine the derivative of the function
y
=
2
x
2
y = \frac{2}{x^2}
y
=
x
2
2
.
QUESTION
What is the derivative of the function
f
(
x
)
=
x
5
−
4
x
3
+
2
f(x) = x^5 - 4x^3 + 2
f
(
x
)
=
x
5
−
4
x
3
+
2
?
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ANSWER
5
x
4
−
12
x
2
5x^4 - 12x^2
5
x
4
−
12
x
2
. Power rule:
5
x
4
5x^4
5
x
4
from
x
5
x^5
x
5
and
−
12
x
2
-12x^2
−
12
x
2
from
−
4
x
3
-4x^3
−
4
x
3
.
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