gma00108-lista-10

# gma00108-lista-10 - GMA DEPARTAMENTO DE MATEMÁTICA...

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Unformatted text preview: GMA DEPARTAMENTO DE MATEMÁTICA APLICADA GM LISTA DE EXERC ´ ICIOS C´ alculo I –A– Humberto Jos´ e Bortolossi http://www.professores.uff.br/hjbortol/ 10 Derivadas das fun¸c˜oes elementares e regras b´ asicas de deriva¸ c˜ ao [01] Associe o gr´ afico de cada fun¸c˜ao em (a)-(d) com o gr´ afico de sua derivada em (1)-(4). (a) (b) (c) (d) (1) (2) (3) (4) [02] O gr´ afico da fun¸c˜ao f ´ e dado abaixo. Indique em quais pontos a fun¸ c˜ao f n˜ ao ´ e diferenci´ avel. Justifique a sua resposta. [03] Derive cada uma das fun¸ c˜oes dadas abaixo. (a) f ( x ) = 5 x − 1, (b) f ( x ) = x 2 + 3 x − 4, (c) y = x − 2 / 5 + 1 /x , (d) V ( r ) = 4 πr 3 / 3, (e) Y ( t ) = 6 t − 9 , ( f ) F ( x ) = (16 x ) 3 , (g) y = 3 x + 2 e x , (h) f ( x ) = ax 2 + bx + c , (i) y = √ x ( x − 1). [04] Encontre os pontos do gr´ afico da fun¸c˜ao y = x 3 − x 2 − x + 1 onde a reta tangente ´ e horizontal....
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## This note was uploaded on 10/30/2011 for the course ECON 101 taught by Professor Vários during the Spring '11 term at Universidade Federal do Rio de Janeiro.

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gma00108-lista-10 - GMA DEPARTAMENTO DE MATEMÁTICA...

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