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Mathematics
Mathematics
Problem
Identify the correct expression for the average rate of change of a function
y
=
f
(
x
)
y=f(x)
y
=
f
(
x
)
between
x
=
x
1
x=x_1
x
=
x
1
and
x
=
x
2
x=x_2
x
=
x
2
(
x
2
>
x
1
x_2>x_1
x
2
>
x
1
). a)
f
(
x
2
)
−
f
(
x
1
)
x
1
x
2
\dfrac{f(x_2)-f(x_1)}{x_1 x_2}
x
1
x
2
f
(
x
2
)
−
f
(
x
1
)
b)
f
′
(
x
2
)
−
f
′
(
x
1
)
f'(x_2)-f'(x_1)
f
′
(
x
2
)
−
f
′
(
x
1
)
c)
f
(
x
2
)
−
f
(
x
1
)
x
2
−
x
1
\dfrac{f(x_2)-f(x_1)}{x_2-x_1}
x
2
−
x
1
f
(
x
2
)
−
f
(
x
1
)
d)
f
(
x
2
)
+
f
(
x
1
)
x
2
−
x
1
\dfrac{f(x_2)+f(x_1)}{x_2-x_1}
x
2
−
x
1
f
(
x
2
)
+
f
(
x
1
)
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