En opgavebank over forskellige emner.<\/p>\n\n\n
Andengradsligningen<\/strong><\/p>\n\n\n\nL2G-1<\/span><\/span><\/span><\/button><\/div>\nVis, at den generelle formel reduceres til $\\small x=0 \\vee x=-\\frac{b}{a}$, n\u00e5r c = 0.<\/p>\n<\/div><\/div><\/div>\n\n\n\nL2G-2<\/span><\/span><\/span><\/button><\/div>\nVis, at den generelle formel reduceres til $\\small x=\\pm\\sqrt{-\\frac{c}{a}}$, n\u00e5r b = 0<\/p>\n<\/div><\/div><\/div>\n<\/div><\/div><\/div>\n\n\n\nDIFFERENTIALREGNING<\/h2>\n\n\nRegneregler<\/strong><\/p>\n\n\n\n\nDR001<\/span><\/span><\/span><\/button><\/div>\nDu skal bruge regneregler til at differentiere f\u00f8lgende funktioner uden brug af CAS.<\/p>\n\n\n\n$\\small f(x)=4\\cdot x^2+3\\cdot x-2$<\/li>\n\n\n\n$\\small g(x)=- x^3 – x$<\/li>\n\n\n\n$\\small h(x)=-3\\cdot x^2+7\\cdot x-4$<\/li>\n\n\n\n$\\small i(x)=7\\cdot x^5+3\\cdot x^4-x^3+5\\cdot x^2+x-7$<\/li>\n\n\n\n$\\small j(x)=0,6\\cdot x^5-0,75\\cdot x^4+x^3+3\\cdot x^2-x$<\/li>\n\n\n\n$\\small k(x)=0,01\\cdot x^{100}-2\\cdot x^{50}+x^{20}+3\\cdot x^{15}$<\/li>\n\n\n\n$\\small l(x)=x^{-2}+x$<\/li>\n\n\n\n$\\small n(x)=\\frac{1}{x^2}$<\/li>\n\n\n\n$\\small m(x)=\\frac{1}{x^3}+x^2$<\/li>\n\n\n\n$\\small o(x)=\\frac{x^2+2\\cdot x}{x^3}$<\/li>\n\n\n\n$\\small p(x)=\\frac{3\\cdot x^{-3}+7\\cdot x^2-8}{x^{-3}}$<\/li>\n\n\n\n$\\small q(x)=\\frac{x^2-2x-8}{x+2}$<\/li>\n<\/ol><\/div><\/div><\/div>\n<\/div><\/div><\/div>\n<\/div>\n\n\nGr\u00e6nsev\u00e6rdibegrebet<\/strong><\/p>\n\n\n\n\nDG001<\/span><\/span><\/span><\/button><\/div>\nMy mind goes in interesting directions when I’m trying to sleep.<\/a> from r\/3Blue1Brown<\/a><\/blockquote>\n
Vis, at den generelle formel reduceres til $\\small x=0 \\vee x=-\\frac{b}{a}$, n\u00e5r c = 0.<\/p>\n<\/div><\/div><\/div>\n\n\n\n
Vis, at den generelle formel reduceres til $\\small x=\\pm\\sqrt{-\\frac{c}{a}}$, n\u00e5r b = 0<\/p>\n<\/div><\/div><\/div>\n<\/div><\/div><\/div>\n\n\n\n
Regneregler<\/strong><\/p>\n\n\n\n\nDR001<\/span><\/span><\/span><\/button><\/div>\nDu skal bruge regneregler til at differentiere f\u00f8lgende funktioner uden brug af CAS.<\/p>\n\n\n\n$\\small f(x)=4\\cdot x^2+3\\cdot x-2$<\/li>\n\n\n\n$\\small g(x)=- x^3 – x$<\/li>\n\n\n\n$\\small h(x)=-3\\cdot x^2+7\\cdot x-4$<\/li>\n\n\n\n$\\small i(x)=7\\cdot x^5+3\\cdot x^4-x^3+5\\cdot x^2+x-7$<\/li>\n\n\n\n$\\small j(x)=0,6\\cdot x^5-0,75\\cdot x^4+x^3+3\\cdot x^2-x$<\/li>\n\n\n\n$\\small k(x)=0,01\\cdot x^{100}-2\\cdot x^{50}+x^{20}+3\\cdot x^{15}$<\/li>\n\n\n\n$\\small l(x)=x^{-2}+x$<\/li>\n\n\n\n$\\small n(x)=\\frac{1}{x^2}$<\/li>\n\n\n\n$\\small m(x)=\\frac{1}{x^3}+x^2$<\/li>\n\n\n\n$\\small o(x)=\\frac{x^2+2\\cdot x}{x^3}$<\/li>\n\n\n\n$\\small p(x)=\\frac{3\\cdot x^{-3}+7\\cdot x^2-8}{x^{-3}}$<\/li>\n\n\n\n$\\small q(x)=\\frac{x^2-2x-8}{x+2}$<\/li>\n<\/ol><\/div><\/div><\/div>\n<\/div><\/div><\/div>\n<\/div>\n\n\nGr\u00e6nsev\u00e6rdibegrebet<\/strong><\/p>\n\n\n\n\nDG001<\/span><\/span><\/span><\/button><\/div>\nMy mind goes in interesting directions when I’m trying to sleep.<\/a> from r\/3Blue1Brown<\/a><\/blockquote>\n
Du skal bruge regneregler til at differentiere f\u00f8lgende funktioner uden brug af CAS.<\/p>\n\n\n
Gr\u00e6nsev\u00e6rdibegrebet<\/strong><\/p>\n\n\n\n\nDG001<\/span><\/span><\/span><\/button><\/div>\nMy mind goes in interesting directions when I’m trying to sleep.<\/a> from r\/3Blue1Brown<\/a><\/blockquote>\n
My mind goes in interesting directions when I’m trying to sleep.<\/a> from r\/3Blue1Brown<\/a><\/blockquote>\n