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Mathematics
Mathematics
Problem
Which of the following limits equals the derivative of
f
(
x
)
=
x
2
f(x)=x^{2}
f
(
x
)
=
x
2
at
x
=
3
x=3
x
=
3
? a)
lim
h
→
0
(
3
+
2
h
)
2
−
9
h
\displaystyle \lim_{h\to0}\frac{(3+2h)^{2}-9}{h}
h
→
0
lim
h
(
3
+
2
h
)
2
−
9
b)
lim
h
→
0
(
3
+
h
)
2
−
9
h
\displaystyle \lim_{h\to0}\frac{(3+h)^{2}-9}{h}
h
→
0
lim
h
(
3
+
h
)
2
−
9
c)
lim
h
→
0
(
3
+
h
)
2
−
9
2
h
\displaystyle \lim_{h\to0}\frac{(3+h)^{2}-9}{2h}
h
→
0
lim
2
h
(
3
+
h
)
2
−
9
d)
lim
h
→
0
(
3
+
h
)
3
−
27
h
\displaystyle \lim_{h\to0}\frac{(3+h)^{3}-27}{h}
h
→
0
lim
h
(
3
+
h
)
3
−
27
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