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(³ª) f(x)=cosx+xsinx+1 ¶ó ³õÀ¸¸é
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¸Å°³º¯¼ö ¹ÌºÐ¹ý¿¡¼ d^2y/dx^2 = dy/dx °öÇϱâ dt/dx ÇØ¾ß ÇÏÁö ¾Ê³ª¿ä??
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ºÐ¸ð´Â Ç×»ó ¾ç¼öÀÌ°í ºÐÀÚ¸¦ ºÃÀ» ¶§ x-a-x^2=0 Áï,
x>0 ÀÎ x°ªÀÌ 2 °³ ³ª¿Í¾ß ±ØÁ¡ µÎ°³¸¦ °®½À´Ï´Ù.
(x>0 ÀÎ ÀÌÀ¯´Â ·Î±×Á¤ÀÇ ¶§¹®ÀÔ´Ï´Ù.)
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x=0 ÀÏ ¶§ y°ªÀÌ À½¼ö°¡ µÇ¾î¾ß ÇÕ´Ï´Ù.
±×·±µ¥ ·Î±×Á¤ÀÇ¿¡ ÀÇÇØ x=0 À» ´ëÀÔÇÏÁö ¸øÇϹǷÎ
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x=0 ´ë½Å x=1 À» ´ëÀÔÇÑ °Í ÀÔ´Ï´Ù. |
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»ï°¢ÇÔ¼ö sinx , cosx ¸¸ ºÁµµ ±Ø´ë ±Ø¼Ò Á¸ÀçÇÕ´Ï´Ù.
ÇØ´ç ¹®Á¦ÀÇ ½ÄÀº ¹ÌºÐ ÇßÀ» ¶§ f'(x)¡Ã0 À̹ǷÎ
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±³¼ö´Ô²²¼ f'(x)=(x-4)(x-16)/(x-10)^2=0 x=4,16¿¡¼ ±Ø°ªÀ» ±¸Çϼ̴µ¥ x°¡ Á¤ÀǵÇÁö¾Ê´Â °ª¿¡¼µµ ±Ø°ªÀ» ±¸Çؼ x=10¿¡¼µµ ±Ø°ªÀ» ±¸ÇؾßÇÏÁö¾Ê³ª¿ä??
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f(x) ¿¡¼ ºÐ¸ð°¡ 0ÀÌ µÇ´Â Á¡ x=10 ¿¡¼ Á¤ÀǵÇÁö ¾ÊÀ¸¹Ç·Î ÇÔ¼ý°ªÀÌ Á¸ÀçÇÏÁö ¾Ê½À´Ï´Ù.
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