Koordinatni

Preslikavanja ravnine
<table class='table table-bordered table-striped'> <tr> <td>(a) Granična vrijednost</td> <td>\(\lim_{x\to\infty} \left(\sqrt{x^2 + x} - \sqrt{x^2 - x}\right)\)</td> </tr> <tr> <td>(b) Integral</td> <td>\(\int_0^{\infty} e^{-x}\ln(x) dx\)</td> </tr> <tr> <td>(c) Derivacija</td> <td>\(\frac{d}{dx}\left(\frac{x^2 + 1}{\sqrt{1 - x^2}}\right)\)</td> </tr> <tr> <td>(d) Integral</td> <td>\(\int \frac{1 + \sin x}{\cos^2 x} dx\)</td> </tr> <tr> <td>(e) Granična vrijednost</td> <td>\(\lim_{n\to\infty} \left(\frac{2^n}{n!}\right)^{1/n}\)</td> </tr> <tr> <td>(f) Derivacija</td> <td>\(\frac{d}{dx}\left[\left(\frac{1 - x}{1 + x}\right)^x\right]\)</td> </tr> <tr> <td>(g) Integral</td> <td>\(\int \frac{x}{\sqrt{1 + x^2}} dx\)</td> </tr> <tr> <td>(h) Derivacija</td> <td>\(\frac{d}{dx}\left(\ln\left[\frac{x^2 + 1}{\sqrt{x^2 + 2}}\right]\right)\)</td> </tr> <tr> <td>(i) Integral</td> <td>\(\int \frac{1 + \cos x}{\sin^2 x} dx\)</td> </tr> <tr> <td>(j) Derivacija</td> <td>\(\frac{d}{dx}\left[\sin\left(\frac{1}{x}\right)\right]\)</td> </tr> </table> (a) I to ti nije mala raljika <BR> (b) <svg width="600" height="600" xmlns="http://www.w3.org/2000/svg"> <!-- Background --> <rect width="100%" height="100%" fill="white"/> <!-- Help lines (grid) --> <g stroke="#e0e0e0" stroke-width="1"> <!-- Vertical lines --> <line x1="50" y1="0" x2="50" y2="600"/> <line x1="100" y1="0" x2="100" y2="600"/> <line x1="150" y1="0" x2="150" y2="600"/> <line x1="200" y1="0" x2="200" y2="600"/> <line x1="250" y1="0" x2="250" y2="600"/> <line x1="350" y1="0" x2="350" y2="600"/> <line x1="400" y1="0" x2="400" y2="600"/> <line x1="450" y1="0" x2="450" y2="600"/> <line x1="500" y1="0" x2="500" y2="600"/> <line x1="550" y1="0" x2="550" y2="600"/> <!-- Horizontal lines --> <line x1="0" y1="50" x2="600" y2="50"/> <line x1="0" y1="100" x2="600" y2="100"/> <line x1="0" y1="150" x2="600" y2="150"/> <line x1="0" y1="200" x2="600" y2="200"/> <line x1="0" y1="250" x2="600" y2="250"/> <line x1="0" y1="350" x2="600" y2="350"/> <line x1="0" y1="400" x2="600" y2="400"/> <line x1="0" y1="450" x2="600" y2="450"/> <line x1="0" y1="500" x2="600" y2="500"/> <line x1="0" y1="550" x2="600" y2="550"/> </g> <!-- Axes --> <line x1="300" y1="0" x2="300" y2="600" stroke="black" stroke-width="2"/> <line x1="0" y1="300" x2="600" y2="300" stroke="black" stroke-width="2"/> <!-- Axes labels --> <text x="310" y="20" font-family="Arial" font-size="14" fill="black">Y</text> <text x="580" y="310" font-family="Arial" font-size="14" fill="black">X</text> <!-- Grid labels --> <!-- Vertical labels --> <text x="48" y="315" font-family="Arial" font-size="12" fill="black">-250</text> <text x="98" y="315" font-family="Arial" font-size="12" fill="black">-200</text> <text x="148" y="315" font-family="Arial" font-size="12" fill="black">-150</text> <text x="198" y="315" font-family="Arial" font-size="12" fill="black">-100</text> <text x="248" y="315" font-family="Arial" font-size="12" fill="black">-50</text> <text x="348" y="315" font-family="Arial" font-size="12" fill="black">50</text> <text x="398" y="315" font-family="Arial" font-size="12" fill="black">100</text> <text x="448" y="315" font-family="Arial" font-size="12" fill="black">150</text> <text x="498" y="315" font-family="Arial" font-size="12" fill="black">200</text> <text x="548" y="315" font-family="Arial" font-size="12" fill="black">250</text> <!-- Horizontal labels --> <text x="305" y="52" font-family="Arial" font-size="12" fill="black">250</text> <text x="305" y="102" font-family="Arial" font-size="12" fill="black">200</text> <text x="305" y="152" font-family="Arial" font-size="12" fill="black">150</text> <text x="305" y="202" font-family="Arial" font-size="12" fill="black">100</text> <text x="305" y="252" font-family="Arial" font-size="12" fill="black">50</text> <text x="305" y="352" font-family="Arial" font-size="12" fill="black">-50</text> <text x="305" y="402" font-family="Arial" font-size="12" fill="black">-100</text> <text x="305" y="452" font-family="Arial" font-size="12" fill="black">-150</text> <text x="305" y="502" font-family="Arial" font-size="12" fill="black">-200</text> <text x="305" y="552" font-family="Arial" font-size="12" fill="black">-250</text> <!-- Center point --> <circle cx="300" cy="300" r="4" fill="red"/> </svg> <br />
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