{"id":660,"date":"2024-04-20T07:20:09","date_gmt":"2024-04-20T07:20:09","guid":{"rendered":"https:\/\/gbelentzas.sites.sch.gr\/?p=660"},"modified":"2026-04-17T13:06:05","modified_gmt":"2026-04-17T13:06:05","slug":"%cf%80%ce%b1%cf%81%ce%ac%ce%b3%cf%89%ce%b3%ce%bf%cf%82-%cf%83%cf%84%ce%b1%ce%b8%ce%b5%cf%81%ce%ae%cf%82-%cf%83%cf%85%ce%bd%ce%ac%cf%81%cf%84%ce%b7%cf%83%ce%b7%cf%82-%ce%b1%cf%80%cf%8c%ce%b4%ce%b5","status":"publish","type":"post","link":"https:\/\/gbelentzas.sites.sch.gr\/?p=660","title":{"rendered":"\u03a0\u03b1\u03c1\u03ac\u03b3\u03c9\u03b3\u03bf\u03c2 \u03c3\u03c4\u03b1\u03b8\u03b5\u03c1\u03ae\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2 (\u03b1\u03c0\u03cc\u03b4\u03b5\u03b9\u03be\u03b7)"},"content":{"rendered":"

\u0398\u03b5\u03ce\u03c1\u03b7\u03bc\u03b1 5<\/strong>. \u0395\u03c3\u03c4\u03c9 \u03b7 \u03c3\u03c4\u03b1\u03b8\u03b5\u03c1\u03ae \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 <\/span>\"\textcolor{blue}{f(x) = c, c \in \rr. }\" \u039d\u03b1 \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03c4\u03b5 \u03cc\u03c4\u03b9 \u03b7 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 f \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03b1\u03c1\u03b1\u03b3\u03c9\u03b3\u03af\u03c3\u03b9\u03bc\u03b7 \u03c3\u03c4\u03bf <\/span>\"\textcolor{blue}{\rr }\" \u00a0\u03ba\u03b1\u03b9 \u03b9\u03c3\u03c7\u03cd\u03b5\u03b9\u00a0<\/span>\"\textcolor{blue}{f'\u02b9(x) = 0, }\" \u00a0 \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae <\/span><\/p>\n

  <\/span>   <\/span>\"\[\textcolor{blue}{(c)'=0 }\]\"<\/p>\n

\n

\u0388\u03c3\u03c4\u03c9 \u03b7 \u03c3\u03c4\u03b1\u03b8\u03b5\u03c1\u03ae \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \"f(x)=c, \quad c \in \mathbf{R}\"<\/p>\n

\u03a0\u03c1\u03ac\u03b3\u03bc\u03b1\u03c4\u03b9, \u03b1\u03bd \"x_0\" \u03b5\u03af\u03bd\u03b1\u03b9 \u03ad\u03bd\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03bf<\/strong> \u03c4\u03bf\u03c5 \"\rr,\" \u03c4\u03cc\u03c4\u03b5 \u03b3\u03b9\u03b1 \"x \neq x_0\" \u03b9\u03c3\u03c7\u03cd\u03b5\u03b9:<\/p>\n

  <\/span>   <\/span>\"\[\dfrac{f(x)-f(x_0)}{x-x_0}=\dfrac{c-c}{x-x_0}=0\]\"<\/p>\n

\u0395\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2,<\/p>\n

  <\/span>   <\/span>\"\[\Rightarrow \orio{x}{x_0}{\dfrac{f(x)-f(x_0)}{x-x_0}}=\orio{x}{x_0}{0}\]\"<\/p>\n

  <\/span>   <\/span>\"\[\Rightarrow f'(x_0)=0\]\"<\/p>\n

\u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \"(c)'=0\"<\/p>\n","protected":false},"excerpt":{"rendered":"

\u0398\u03b5\u03ce\u03c1\u03b7\u03bc\u03b1 5. \u0395\u03c3\u03c4\u03c9 \u03b7 \u03c3\u03c4\u03b1\u03b8\u03b5\u03c1\u03ae \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u039d\u03b1 \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03c4\u03b5 \u03cc\u03c4\u03b9 \u03b7 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 f \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03b1\u03c1\u03b1\u03b3\u03c9\u03b3\u03af\u03c3\u03b9\u03bc\u03b7 \u03c3\u03c4\u03bf \u00a0\u03ba\u03b1\u03b9 \u03b9\u03c3\u03c7\u03cd\u03b5\u03b9\u00a0 \u00a0 \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae     \u0388\u03c3\u03c4\u03c9 \u03b7 \u03c3\u03c4\u03b1\u03b8\u03b5\u03c1\u03ae \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u03a0\u03c1\u03ac\u03b3\u03bc\u03b1\u03c4\u03b9, \u03b1\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03ad\u03bd\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u03c4\u03bf\u03c5 \u03c4\u03cc\u03c4\u03b5 \u03b3\u03b9\u03b1 \u03b9\u03c3\u03c7\u03cd\u03b5\u03b9:     \u0395\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2,         \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13],"tags":[],"class_list":["post-660","post","type-post","status-publish","format-standard","hentry","category-13"],"featured_image_src":null,"author_info":{"display_name":"admin","author_link":"https:\/\/gbelentzas.sites.sch.gr\/?author=1"},"yoast_head":"\n\u03a0\u03b1\u03c1\u03ac\u03b3\u03c9\u03b3\u03bf\u03c2 \u03c3\u03c4\u03b1\u03b8\u03b5\u03c1\u03ae\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2 (\u03b1\u03c0\u03cc\u03b4\u03b5\u03b9\u03be\u03b7) - 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