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Mathematics
Problem
For
h
(
t
)
=
3
t
4
−
5
t
−
2
+
t
h(t)=3t^{4}-5t^{-2}+\sqrt{t}
h
(
t
)
=
3
t
4
−
5
t
−
2
+
t
, what is
h
′
(
t
)
h'(t)
h
′
(
t
)
? a)
12
t
3
−
10
t
−
3
+
1
2
t
−
1
/
2
12t^{3}-10t^{-3}+\tfrac{1}{2}t^{-1/2}
12
t
3
−
10
t
−
3
+
2
1
t
−
1/2
b)
12
t
3
+
10
t
−
2
+
1
2
t
−
3
/
2
12t^{3}+10t^{-2}+\tfrac{1}{2}t^{-3/2}
12
t
3
+
10
t
−
2
+
2
1
t
−
3/2
c)
12
t
3
+
10
t
−
3
+
1
2
t
−
1
/
2
12t^{3}+10t^{-3}+\tfrac{1}{2}t^{-1/2}
12
t
3
+
10
t
−
3
+
2
1
t
−
1/2
d)
12
t
3
+
10
t
−
3
+
1
2
t
1
/
2
12t^{3}+10t^{-3}+\tfrac{1}{2}t^{1/2}
12
t
3
+
10
t
−
3
+
2
1
t
1/2
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