#1
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¶éÒ f"(x) > 0 ààÅéÇ f'(x)>f'(0) à»ç¹¨ÃÔ§ËÃ×Íà»ÅèÒ¤èÐ
10 àÁÉÒ¹ 2010 15:23 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ kurumi_00 |
#2
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äÁèÇèÒ¨Ðà»ç¹ $f'(x)>f''(x)$ ËÃ×Í $f''(x)>f'(x)$ ¡çäÁèÁÕÍѹä˹¨Ãԧ㹡óշÑèÇä»
µÑÇÍÂèÒ§ $f(x)=e^{2x},f'(x)=2e^{2x},f''(x)=4e^{2x}>f'(x)$ $f(x)=e^{x/2},f'(x)=\frac{1}{2}e^{x/2},f''(x)=\frac{1}{4}e^{x/2}<f'(x)$
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site:mathcenter.net ¤Ó¤é¹ |
#3
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¢Íá¡é⨷Âì´éÒ¹º¹¹èФèÐ
à¼ÍÔÇèÒ¾ÔÁ¾ì¾ÅҴ仹Դ¹Ö§ÍèФèÐ ÍÂÒ¡·ÃҺ͹ؾѹ¸ì¢Í§ $(\frac{a^x}{lna})'$ *¢ÍÇÔ¸Ô¤Ô´´éǹèФèÐ |
#4
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ÍéÒ§ÍÔ§:
$f'(x)=a^xlna$ ´Ñ§¹Ñé¹·Õè¶ÒÁ¡çµÍº $a^x$ |
#5
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f(x) Êèǹ´éÇ lna ÍÂÙèäÁèãªèàËÃͤèÐ
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#6
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lna à»ç¹¤èÒ¤§·Õè¤ÃѺá¡ÍÍ¡äÇéµÑ´¡Ñº¼ÅÅѾ·ÕËÅѧä´é䧤ÃѺ àÍéÒ¢Õéà¡Õ¨ÁҵͺãËéµèÍÅФԴ§Õé¤ÃѺ
$f(x)=\frac{a^x}{lna}$ $f'(x)=\frac{a^xlna}{lna}=a^x$ 12 àÁÉÒ¹ 2010 13:12 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ gnopy |
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