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Mathematics
Mathematics
Problem
Given
p
(
t
)
=
3
t
3
−
5
t
2
+
2
p(t)=3t^{3}-5t^{2}+2
p
(
t
)
=
3
t
3
−
5
t
2
+
2
, simplify the difference quotient
p
(
a
+
h
)
−
p
(
a
)
h
\dfrac{p(a+h)-p(a)}{h}
h
p
(
a
+
h
)
−
p
(
a
)
so that no powers of
h
h
h
remain in the numerator, where
h
≠
0
h\ne 0
h
=
0
.
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