Metode Numerik 2 - Universitas Indonesia
Metode Numerik 2 - Universitas Indonesia
Metode Numerik 2 - Universitas Indonesia
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a<br />
g(x)<br />
Titik Minimum<br />
dg(x)<br />
dx<br />
x<br />
x=<br />
a<br />
2<br />
Spesial: fungsi kuadratik g(x) = ax + bx + c<br />
dg(x)<br />
= 2ax + b<br />
dx<br />
2<br />
d g(x)<br />
= 2a<br />
2<br />
dx<br />
⎫<br />
⎪<br />
⎬<br />
⎪<br />
⎭<br />
g(a) merupakan titik minimum jika:<br />
dg(x)<br />
dx<br />
x=<br />
a<br />
= 0<br />
dan<br />
d<br />
2<br />
g(x)<br />
dx<br />
2<br />
x=<br />
a<br />
g(x) memiliki satu titik minimun jika a > 0 atau<br />
sebaliknya satu titik maksimum jika a < 0.<br />
> 0<br />
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