Calculating Higher-Order Derivatives
AP Calculus BC · Flashcards · Application
AP CALCULUS BC · FLASHCARDS
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QUESTION
What is the second derivative of
f
(
x
)
=
e
x
f(x) = e^x
f
(
x
)
=
e
x
?
QUESTION
What is the second derivative of
f
(
x
)
=
sin
2
(
x
)
f(x) = \text{sin}^2(x)
f
(
x
)
=
sin
2
(
x
)
?
QUESTION
What is the fourth derivative of
f
(
x
)
=
x
4
f(x) = x^4
f
(
x
)
=
x
4
?
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ANSWER
f
(
4
)
(
x
)
=
24
f^{(4)}(x) = 24
f
(
4
)
(
x
)
=
24
. Fourth derivative of
x
4
x^4
x
4
gives the factorial
4
!
=
24
4! = 24
4
!
=
24
.
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