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Mì-chit-fûn-ho̍k
Li̍t-sṳ́
Lióng-vi thu̍k-li̍p khok-li̍p Mì-chit-fûn thí-hì ke Sú-ho̍k-kâ:
Ngie-sat-khiet Ngiù-tun
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Kô-thi̍t-fut-lî-tet Lòi-pu-nì-tshṳ
Chú-yeu khói-ngiam
f
′
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3
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=
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h
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0
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3
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h
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2
−
3
2
h
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lim
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0
9
+
6
h
+
h
2
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9
h
=
lim
h
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0
6
h
+
h
2
h
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lim
h
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0
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6
+
h
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=
6.
{\displaystyle {\begin{aligned}f'(3)&=\lim _{h\to 0}{(3+h)^{2}-3^{2} \over {h}\\&=\lim _{h\to 0}{9+6h+h^{2}-9 \over {h}\\&=\lim _{h\to 0}{6h+h^{2} \over {h}\\&=\lim _{h\to 0}(6+h)\\&=6.\end{aligned}