2009a_x2b_sols

# 2009a_x2b_sols - E ÜaÑÓ ÐÙ Ø iÓÒ × F Ó ÖÑB A d...

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Unformatted text preview: E ÜaÑÓ ÐÙ Ø iÓÒ × F Ó ÖÑB A d dx (2 cos x − sin x ) = − 2 sin x − cos x B y ′ = 1 − sec x tan x ;Û h eÒ x = 0 y ′ = 1 − sec 0 tan 0 = 1 A f ′ ( x ) = 8(3 x − 1) 7 (3) Ù × iÒg Øh eC ha iÒÙ Ðe×Ó f ′ (0) = 8( − 1) 7 (3) = − 24 4 E h ed eÖ iÚa Ø iÚ e×Ó f sin x fÓ ÐÐÓÛ Øh eÔa ØØeÖÒ cos x, − sin x, − cos x, sin x, ... ×Ó Øh ee ÐeÚ eÒ Øh d eÖ iÚa Ø iÚ e i×Øh e×aÑ ea ×Øh eØh iÖdd eÖ iÚa Ø iÚ e − cos x 5 D r ′ ( t ) = < 1 / 3 t − 2 / 3 , 2 e 2 t >, ×Ó r ′ (1) = < 1 / 3 , 2 e 2 > 6 C eÛ ØÓÒ ×e ØhÓd×aÝ ×Øha Ø x 2 = x 1 − f ( x 1 ) f ′ ( x 1 ) = 2 − 2 3 − 2 · 2 − 5 3(2 2 ) − 2 = 2 − − 1 10 = 21 / 10 7 A B eg iÒÛ iØh Øh eeÜÔÓÒ eÒ Ø : lim x →- 1 x = −∞ hÙ × lim x →- 3 1 /x = 0 aÒd lim x →- 1 2 + 3 (1 /x ) = 1 2 + 0 = 1 2 8 A h eg ÖaÔh ×Ó fØh e fÙÒ Ø iÓÒ ×a Öe×hÓÛ Òb e ÐÓÛ × iÒg Øh ehÓ Ö iÞÓÒ Øa ÐÐiÒ eØe×Ø f 1 aÒd f 2 a Öe...
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2009a_x2b_sols - E ÜaÑÓ ÐÙ Ø iÓÒ × F Ó ÖÑB A d...

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