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Mathematics
Mathematics
Problem
Let
r
(
t
)
=
⟨
ln
(
1
+
t
2
)
,
t
3
−
4
t
,
cos
(
3
t
)
⟩
\mathbf r(t)=\langle \ln(1+t^{2}),\,t^{3}-4t,\,\cos(3t)\rangle
r
(
t
)
=
⟨
ln
(
1
+
t
2
)
,
t
3
−
4
t
,
cos
(
3
t
)⟩
. Find
r
′
(
t
)
\mathbf r'(t)
r
′
(
t
)
.
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