2009a_x2a_sols

2009a_x2a_sols - E ÜaÑÓ ÐÙ Ø iÓÒ × F Ó ÖÑA D d...

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Unformatted text preview: E ÜaÑÓ ÐÙ Ø iÓÒ × F Ó ÖÑA D d dx (2 sin x − cos x ) = 2 cos x − ( − sin x ) = 2 cos x + sin x E y ′ = sec x tan x − 1 ;Û h eÒ x = 0 y ′ = sec 0 tan 0 − 1 = − 1 C f ′ ( x ) = 8(2 x − 1) 7 (2) Ù × iÒg Øh eC ha iÒÙ Ðe×Ó f ′ (0) = 8( − 1) 7 (2) = − 16 4 B 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 eØeÒ Øhd eÖ iÚa Ø iÚ e i×Øh e×aÑ ea ×Øh e×eÓÒdd eÖ iÚa Ø iÚ e − sin x 5 C r ′ ( t ) = < 2 e 2 t , 1 / 3 t − 2 / 3 >, ×Ó r ′ (1) = < 2 e 2 , 1 / 3 > 6 E 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 B B eg iÒÛ iØh Øh eeÜÔÓÒ eÒ Ø : lim x →- 1 x = −∞ hÙ × lim x →- 3 1 /x = 0 aÒd lim x →- 2 1 + 3 (1 /x ) = 2 1 + 0 = 2 8 B 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...
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This note was uploaded on 05/17/2009 for the course MATH 151 taught by Professor Artbelmonte during the Spring '06 term at Texas A&M.

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2009a_x2a_sols - E ÜaÑÓ ÐÙ Ø iÓÒ × F Ó ÖÑA D d...

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