Applying the Power Rule
AP Calculus BC · Flashcards
AP CALCULUS BC · FLASHCARDS
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QUESTION
Differentiate:
f
(
x
)
=
6
x
2
f(x) = 6x^2
f
(
x
)
=
6
x
2
.
QUESTION
Find the derivative of
x
1
2
x^{\frac{1}{2}}
x
2
1
.
QUESTION
Differentiate:
f
(
x
)
=
5
x
3.5
f(x) = 5x^{3.5}
f
(
x
)
=
5
x
3.5
.
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ANSWER
f
′
(
x
)
=
17.5
x
2.5
f'(x) = 17.5x^{2.5}
f
′
(
x
)
=
17.5
x
2.5
. Factor out 5, apply power rule:
5
⋅
3.5
x
2.5
5 \cdot 3.5x^{2.5}
5
⋅
3.5
x
2.5
.
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