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Mathematics
Mathematics
Problem
Let
f
′
(
x
)
=
e
x
2
f'(x) = e^{x^2}
f
′
(
x
)
=
e
x
2
and
f
(
0
)
=
10
f(0) = 10
f
(
0
)
=
10
. If
A
<
f
(
1
)
<
B
A < f(1) < B
A
<
f
(
1
)
<
B
can be concluded from the mean value theorem, then the largest value of
(
A
−
B
)
(A - B)
(
A
−
B
)
equals (a)
e
e
e
(b)
1
−
e
1 - e
1
−
e
(c)
e
−
1
e - 1
e
−
1
(d)
1
+
e
1 + e
1
+
e
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