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(4) 3 45&6!798 :&#;< =(>@?>@A5BDCFE%GIHKJMLON3P3QSRTVUSNXWKUSYKZ@[:\^]KZK_`NbacL arcsin(ln(tgx)), ln(arctg(xx )), (ln(x2 ))5 sin x arcsin(x2 ), √ 1 − sin x arccos(ln x) , ln(x + 1 + x2 ), √ thxtgx 1 − x2 x(x ) , xarcsin x , (cos x)cos x . x. =(>@?>@A5BDCedfGIHKJMLON3P3QSRTVUSNXWKUSYKZ@[:\^]KZK_`NbacL f g. x=0. YKJOh. f (x) = sin(sin(sin(sin x))), f (x) =. f (x) =. (. |x||x| 1. YKJih YKJih. x 6= 0, f (x) = x=0. (. (. sin x x. 1. YKJih YKJOh. x2 sin(1/x) 0. x 6= 0, x = 0,. YKJih YKJih. x 6= 0 , x=0. YKJOh x > 0, YKJOh x < 0, YKJih x = 0. =(>@?>@A5BDCejfk<ZKh9JOl3m RncopQSN3P Z@[ YKU g QS_rqsl3ns]t\^]KZK_9NpacL f (x) g TK]KZK_`N LOl x = 2 . arcctg(1/x) f (x) = arcctg(1/x) − π 0. f (x) = 1 + x + x2 + x3 + x4 , f (x) =. =(>@?>@A5BDCvuwk<ZKh9JOl3m RZ@hxa g LMy _rnsP [ g 9h qzo{U}|cR\^]KZ~_9NbacL. 1 + x2 , f (x) = 3x . 1 − x2. 2. x4 − x6 , sin4 x + 2 cos2 x, 2 − ex − e−x , ln(1 + e−x ).. =(>@?>@A5BDCefk<ZKh9JOl3m R g nsP3QSnzo{_rLOl l3_Snzo{qcl )h!D LOZKLM hL)h9_rnsLO)h IT#U}ZKLO3nsP1QNXW+\^]~ZK_9NpacLL P3H@h9Y@h`R.acl`k<Z@h9JMl m RTKqcP l3YKP LOhSiQ g QT~]K_KU}|cN L5YKU)Y~U]LYKU}}qzQ} x3 − 2x2 + 3x − 1,. . 1 − x4 1/x , x , thx. 1 + x4.
(5) (@@5Def<K9@9I^K~ 9¡b¢c£¤@9¥z¦S§s¨ª©.`¤M¡X«©0¦S r¥s£3§c¦ f (x) =. x3 + x 2 + x + 1 , f (x) = sin x + 2 cos x, x2 + x + 1 2. f (x) = xe−x , f (x) =. √ 1 − cos x 3 , f (x) = x3 + 2x2 . sin x. ¬ : ®¯±°-²´³:µ ¸ ¶ ·º¹¼»¾½ ¹¿fÀt³ÀÂÁ:ÃÄ`¹V· -ÅƯ Ç ¯e· ¼Å%¯ È ¯±vÉ Ê ËÍÌ´ÌFÎ. Ï.
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