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Mathematics
Mathematics
Problem
Which of the following limit expressions gives the derivative of a function
f
(
x
)
f(x)
f
(
x
)
at the point
x
x
x
? a)
lim
h
→
0
f
(
x
+
h
)
+
f
(
x
)
h
\displaystyle \lim_{h\to0}\frac{f(x+h)+f(x)}{h}
h
→
0
lim
h
f
(
x
+
h
)
+
f
(
x
)
b)
lim
h
→
0
f
(
x
+
h
)
−
f
(
x
)
h
2
\displaystyle \lim_{h\to0}\frac{f(x+h)-f(x)}{h^2}
h
→
0
lim
h
2
f
(
x
+
h
)
−
f
(
x
)
c)
lim
h
→
0
f
(
x
+
h
)
−
f
(
x
)
h
\displaystyle \lim_{h\to0}\frac{f(x+h)-f(x)}{h}
h
→
0
lim
h
f
(
x
+
h
)
−
f
(
x
)
d)
lim
h
→
0
f
(
x
)
−
f
(
x
+
h
)
h
\displaystyle \lim_{h\to0}\frac{f(x)-f(x+h)}{h}
h
→
0
lim
h
f
(
x
)
−
f
(
x
+
h
)
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