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2021-05-20 |
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2019-05-28 |
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2019-05-25 |
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2019-05-21 |
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·Î±× ¹ÌºÐ¹ýÀ» »ç¿ëÇÏ¿© f(x)¸¦ ¹ÌºÐÇÏ¿© f'(x)=2(lnx)/x*f(x)=(2lnx/x)*x^lnx °¡ µÇ´Âµ¥ ¿©±â¿¡ ¾çº¯¿¡ ÀÚ¿¬ ·Î±×¸¦ ÃëÇØ ºÐÇØÇϸé ln(f'(x))=2ln(lnx)-lnx+(lnx)^2·Î ³ªÅ¸³» Áö¸é, ÀÌ°É ¹ÌºÐÇÏ¿© f''(x)={2/(x*lnx)-1/x+2(lnx)/x}f'(x) Áï, f''(x)={2/e-1/e+2/e}f'(e)=3/e*2 °¡ µÇ¾î¼ ´äÀÌ ´Ù¸£°Ô ³ª¿É´Ï´Ù. ÀÌ°É ±³Àçó·³ Ç®¸é ´äÀÌ ³ª¿À´Â°Ç È®ÀÎÇÏ¿´´Âµ¥,¿Ö ÀÌ¿Í °°ÀÌ Ç®¸é ´äÀÌ ´Ù¸£°Ô ³ª¿À°Ô µÇ´Â°ÇÁö ±Ã±ÝÇÕ´Ï´Ù. |
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g(x)=f(x^3+f(x^2+f(x)))ÀÌ´Ï g'(x)=f'(x^3+f(x^2+f(x)))*(3x^2+f'(x^2+f'(x)))*(2x+f'(x)) °¡ µÇ´Âµ¥ ¿©±â¿¡ x=1À» ´ëÀÔÇϸé, g'(1)=f'(1+f(1+f(1)))*(3+f'(1+f'(1)))*(2+f'(1))=f'(1+f(2))*(3+f'(2))*(3)=f'(3)*(3+2)*(3)=3*5*3=45 °¡ µÇ¾î¾ß ÇÏ´Â°Ô ¾Æ´ÑÁö È®ÀÎ ºÎŹµå¸³´Ï´Ù. ´äÁöµµ ¿ÀŸ°¡ ³µ´ÂÁö ÀÌ»óÇؼ ¹®ÀÇ ÇÕ´Ï´Ù. |
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