{"id":3550,"date":"2026-04-20T12:59:58","date_gmt":"2026-04-20T12:59:58","guid":{"rendered":"https:\/\/gbelentzas.sites.sch.gr\/?p=3550"},"modified":"2026-04-20T13:39:08","modified_gmt":"2026-04-20T13:39:08","slug":"%cf%80%ce%b1%cf%81%ce%b1%ce%b3%cf%89%ce%b3%ce%b9%cf%83%ce%b9%ce%bc%cf%8c%cf%84%ce%b7%cf%84%ce%b1-%cf%83%cf%85%ce%bd%ce%ac%cf%81%cf%84%ce%b7%cf%83%ce%b7%cf%82-%cf%83%ce%b5-%cf%83%ce%b7%ce%bc%ce%b5","status":"publish","type":"post","link":"https:\/\/gbelentzas.sites.sch.gr\/?p=3550","title":{"rendered":"\u03a0\u03b1\u03c1\u03b1\u03b3\u03c9\u03b3\u03b9\u03c3\u03b9\u03bc\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2 \u03c3\u03b5 \u03c3\u03b7\u03bc\u03b5\u03af\u03bf"},"content":{"rendered":"\n\n\n

\u03a0\u03cc\u03c4\u03b5 \u03bb\u03ad\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03bc\u03b9\u03b1 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u00a0<\/strong>\"{\color[HTML]{0693E3}f}\" \u00a0\u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03b1\u03c1\u03b1\u03b3\u03c9\u03b3\u03af\u03c3\u03b9\u03bc\u03b7 \u03c3\u2019 \u03ad\u03bd\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03bf<\/strong> \"{\color[HTML]{0693E3}x_0}\" \u03c4\u03bf\u03c5 \u03c0\u03b5\u03b4\u03af\u03bf\u03c5 \u03bf\u03c1\u03b9\u03c3\u03bc\u03bf\u03cd \u03c4\u03b7\u03c2;<\/strong><\/h4>\n\n\n\n

(\u0397\u039c. 2004, \u0397\u039c. 2009)<\/strong><\/p>\n\n\n

<\/div><\/div><\/div>\n\n\n

\u039c\u03b9\u03b1 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \"f\" \u03bb\u03ad\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03b1\u03c1\u03b1\u03b3\u03c9\u03b3\u03af\u03c3\u03b9\u03bc\u03b7 \u03c3\u2019 \u03ad\u03bd\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \"x_0\" \u03c4\u03bf\u03c5 \u03c0\u03b5\u03b4\u03af\u03bf\u03c5 \u03bf\u03c1\u03b9\u03c3\u03bc\u03bf\u03cd \u03c4\u03b7\u03c2, \u03b1\u03bd:<\/p>\n\n\n\n

    \n
  • \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03c4\u03bf \"\lim\limits_{x \to x_0}\dfrac{f(x)-f(x_0)}{x-x_0}\"<\/li>\n\n\n\n
  • \u03ba\u03b1\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2.<\/li>\n<\/ul>\n\n\n\n

    \u03a4\u03bf \u03cc\u03c1\u03b9\u03bf \u03b1\u03c5\u03c4\u03cc \u03bf\u03bd\u03bf\u03bc\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c0\u03b1\u03c1\u03ac\u03b3\u03c9\u03b3\u03bf\u03c2 \u03c4\u03b7\u03c2 \"f\" \u03c3\u03c4\u03bf \"x_0\" \u03ba\u03b1\u03b9 \u03c3\u03c5\u03bc\u03b2\u03bf\u03bb\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b5 \"f'(x_0)\". \u0394\u03b7\u03bb\u03b1\u03b4\u03ae:<\/p>\n\n\n\n

      <\/span>   <\/span>\"\[f'(x_0)=\lim\limits_{x \to x_0}\dfrac{f(x)-f(x_0)}{x-x_0}=l,\quad l \in \mathbb{R}\]\"<\/p><\/p>\n","protected":false},"excerpt":{"rendered":"

    \u03a0\u03cc\u03c4\u03b5 \u03bb\u03ad\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03bc\u03b9\u03b1 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u00a0${\\color[HTML]{0693E3}f}$ \u00a0\u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03b1\u03c1\u03b1\u03b3\u03c9\u03b3\u03af\u03c3\u03b9\u03bc\u03b7 \u03c3\u2019 \u03ad\u03bd\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03bf ${\\color[HTML]{0693E3}x_0}$ \u03c4\u03bf\u03c5 \u03c0\u03b5\u03b4\u03af\u03bf\u03c5 \u03bf\u03c1\u03b9\u03c3\u03bc\u03bf\u03cd \u03c4\u03b7\u03c2; (\u0397\u039c. 2004, \u0397\u039c. 2009) \u039c\u03b9\u03b1 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 $f$ \u03bb\u03ad\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03b1\u03c1\u03b1\u03b3\u03c9\u03b3\u03af\u03c3\u03b9\u03bc\u03b7 \u03c3\u2019 \u03ad\u03bd\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03bf $x_0$ \u03c4\u03bf\u03c5 \u03c0\u03b5\u03b4\u03af\u03bf\u03c5 \u03bf\u03c1\u03b9\u03c3\u03bc\u03bf\u03cd \u03c4\u03b7\u03c2, \u03b1\u03bd: \u03a4\u03bf \u03cc\u03c1\u03b9\u03bf \u03b1\u03c5\u03c4\u03cc \u03bf\u03bd\u03bf\u03bc\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c0\u03b1\u03c1\u03ac\u03b3\u03c9\u03b3\u03bf\u03c2 \u03c4\u03b7\u03c2 $f$ \u03c3\u03c4\u03bf $x_0$ \u03ba\u03b1\u03b9 \u03c3\u03c5\u03bc\u03b2\u03bf\u03bb\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b5 $f'(x_0)$. \u0394\u03b7\u03bb\u03b1\u03b4\u03ae: $$f'(x_0)=\\lim\\limits_{x…<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12,49],"tags":[],"class_list":["post-3550","post","type-post","status-publish","format-standard","hentry","category-12","category-49"],"featured_image_src":null,"author_info":{"display_name":"admin","author_link":"https:\/\/gbelentzas.sites.sch.gr\/?author=1"},"yoast_head":"\n\u03a0\u03b1\u03c1\u03b1\u03b3\u03c9\u03b3\u03b9\u03c3\u03b9\u03bc\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2 \u03c3\u03b5 \u03c3\u03b7\u03bc\u03b5\u03af\u03bf - MathsEdu.gr<\/title>\n<meta name=\"description\" content=\"\u03a0\u03cc\u03c4\u03b5 \u03bc\u03b9\u03b1 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u03bb\u03ad\u03b3\u03b5\u03c4\u03b1\u03b9 \u03c0\u03b1\u03c1\u03b1\u03b3\u03c9\u03b3\u03af\u03c3\u03b9\u03bc\u03b7 \u03c3\u03b5 \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u03c4\u03bf\u03c5 \u03c0\u03b5\u03b4\u03af\u03bf\u03c5 \u03bf\u03c1\u03b9\u03c3\u03bc\u03bf\u03cd \u03c4\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03c0\u03ce\u03c2 \u03bf\u03c1\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03b7 \u03c0\u03b1\u03c1\u03ac\u03b3\u03c9\u03b3\u03cc\u03c2 \u03c4\u03b7\u03c2.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/gbelentzas.sites.sch.gr\/?p=3550\" \/>\n<meta property=\"og:locale\" content=\"el_GR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u03a0\u03b1\u03c1\u03b1\u03b3\u03c9\u03b3\u03b9\u03c3\u03b9\u03bc\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2 \u03c3\u03b5 \u03c3\u03b7\u03bc\u03b5\u03af\u03bf - 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