Applying the Power Rule
AP Calculus AB · Flashcards
AP CALCULUS AB · FLASHCARDS
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QUESTION
Find the derivative of
f
(
x
)
=
x
0
f(x) = x^0
f
(
x
)
=
x
0
.
QUESTION
What is the derivative of
f
(
x
)
=
−
5
x
0.5
f(x) = -5x^{0.5}
f
(
x
)
=
−
5
x
0.5
?
QUESTION
Differentiate
f
(
x
)
=
x
6
−
x
2
f(x) = x^6 - x^2
f
(
x
)
=
x
6
−
x
2
using the Power Rule.
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ANSWER
f
′
(
x
)
=
6
x
5
−
2
x
f'(x) = 6x^5 - 2x
f
′
(
x
)
=
6
x
5
−
2
x
. Differentiate each term:
6
x
5
−
2
x
6x^5 - 2x
6
x
5
−
2
x
.
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