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6
SMT 2022 Calculus #6
SMT 2022 Calculus #6
Source:
March 29, 2023
Problem Statement
Let
f
(
x
)
=
cos
(
x
3
−
4
x
2
+
5
x
−
2
)
.
f(x)=\cos(x^3-4x^2+5x-2).
f
(
x
)
=
cos
(
x
3
−
4
x
2
+
5
x
−
2
)
.
If we let
f
(
k
)
f^{(k)}
f
(
k
)
denote the
k
k
k
th derivative of
f
f
f
, compute
f
(
10
)
(
1
)
f^{(10)}(1)
f
(
10
)
(
1
)
. For the sake of this problem, note that
10
!
=
3628800
10!=3628800
10
!
=
3628800
.
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