{"id":531,"date":"2025-09-02T16:16:49","date_gmt":"2025-09-02T16:16:49","guid":{"rendered":"https:\/\/onlineduniya.in\/?page_id=531"},"modified":"2026-09-23T21:19:02","modified_gmt":"2026-09-23T21:19:02","slug":"important-for-class-12th","status":"publish","type":"page","link":"https:\/\/onlineduniya.in\/?page_id=531","title":{"rendered":"Important for Class 12th"},"content":{"rendered":"<p class=\"wp-block-paragraph\">\u0915\u0915\u094d\u0937\u093e 12 \u0915\u0940 \u0924\u0948\u092f\u093e\u0930\u0940 \u092e\u0947\u0902 formula \u0915\u093e \u0938\u0939\u0940 condition \u092f\u093e\u0926 \u0930\u0916\u0928\u093e \u091c\u0930\u0942\u0930\u0940 \u0939\u0948\u0964 \u0928\u0940\u091a\u0947 calculus, matrices \u0914\u0930 probability \u0915\u0947 quick revision points \u0939\u0948\u0902\u0964 \u0909\u0924\u094d\u0924\u0930 \u0932\u093f\u0916\u0924\u0947 \u0938\u092e\u092f \u0939\u0930 step \u0938\u093e\u092b \u0926\u093f\u0916\u093e\u090f\u0901\u0964<\/p><h2 class=\"wp-block-heading\">\u092e\u0941\u0916\u094d\u092f \u0938\u0942\u0924\u094d\u0930 \u0914\u0930 \u0928\u093f\u092f\u092e<\/h2><ul class=\"wp-block-list\"><li>\u092f\u0926\u093f n \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948, \u0924\u094b d(x\u207f)\/dx = nx\u207f\u207b\u00b9 (\u091c\u0939\u093e\u0901 expression \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u0939\u094b)\u0964<\/li><li>\u222bx\u207f dx = x\u207f\u207a\u00b9\/(n+1)+C, n\u2260\u22121\u0964 Integration \u0915\u0947 \u092c\u093e\u0926 derivative \u0932\u0947\u0915\u0930 \u091c\u093e\u0901\u091a \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/li><li>A (m\u00d7n) \u0914\u0930 B (n\u00d7p) \u0915\u093e \u0917\u0941\u0923\u0928 AB \u0938\u0902\u092d\u0935 \u0939\u0948; \u092a\u0930\u093f\u0923\u093e\u092e \u0915\u093e \u0906\u0915\u093e\u0930 m\u00d7p \u0939\u094b\u0917\u093e\u0964<\/li><li>Conditional probability: P(A|B)=P(A\u2229B)\/P(B), \u091c\u092c P(B)&gt;0 \u0939\u094b\u0964<\/li><\/ul><h2 class=\"wp-block-heading\">\u0905\u092d\u094d\u092f\u093e\u0938 \u092a\u094d\u0930\u0936\u094d\u0928<\/h2><p class=\"wp-block-paragraph\"><strong>\u092a\u094d\u0930\u0936\u094d\u0928:<\/strong> y=x\u00b3 \u0915\u093e \u0905\u0935\u0915\u0932\u091c \u0915\u094d\u092f\u093e \u0939\u0948? <strong>\u0909\u0924\u094d\u0924\u0930:<\/strong> dy\/dx=3x\u00b2\u0964 \u0905\u092c x=2 \u0930\u0916\u0947\u0902 \u0924\u094b slope 12 \u092e\u093f\u0932\u0947\u0917\u093e\u0964<\/p><p class=\"wp-block-paragraph\">\u0905\u092a\u0928\u0947 \u092c\u094b\u0930\u094d\u0921 \u0915\u0940 \u0928\u0935\u0940\u0928\u0924\u092e \u092a\u0941\u0938\u094d\u0924\u0915 \u0914\u0930 \u092a\u093e\u0920\u094d\u092f\u0915\u094d\u0930\u092e \u0938\u0947 chapter list \u092e\u093f\u0932\u093e\u090f\u0901\u0964 <a href=\"https:\/\/onlineduniya.in\/?page_id=34\">\u0915\u0915\u094d\u0937\u093e 12 \u0915\u0947 \u0938\u0902\u0938\u093e\u0927\u0928<\/a> \u0914\u0930 <a href=\"https:\/\/onlineduniya.in\/?p=434\">\u092a\u0941\u0930\u093e\u0928\u0947\/model papers<\/a> \u0938\u0947 \u0905\u092d\u094d\u092f\u093e\u0938 \u0915\u0930\u0947\u0902\u0964<\/p>","protected":false},"excerpt":{"rendered":"<p>\u0915\u0915\u094d\u0937\u093e 12 \u0915\u0940 \u0924\u0948\u092f\u093e\u0930\u0940 \u092e\u0947\u0902 formula \u0915\u093e \u0938\u0939\u0940 condition \u092f\u093e\u0926 \u0930\u0916\u0928\u093e \u091c\u0930\u0942\u0930\u0940 \u0939\u0948\u0964 \u0928\u0940\u091a\u0947 calculus, matrices \u0914\u0930 probability \u0915\u0947 quick revision points \u0939\u0948\u0902\u0964 \u0909\u0924\u094d\u0924\u0930 \u0932\u093f\u0916\u0924\u0947 &hellip; <\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-531","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/onlineduniya.in\/index.php?rest_route=\/wp\/v2\/pages\/531","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/onlineduniya.in\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/onlineduniya.in\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/onlineduniya.in\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/onlineduniya.in\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=531"}],"version-history":[{"count":2,"href":"https:\/\/onlineduniya.in\/index.php?rest_route=\/wp\/v2\/pages\/531\/revisions"}],"predecessor-version":[{"id":1202,"href":"https:\/\/onlineduniya.in\/index.php?rest_route=\/wp\/v2\/pages\/531\/revisions\/1202"}],"wp:attachment":[{"href":"https:\/\/onlineduniya.in\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=531"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}