Derivadas Exercicios

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U N I V E R S I D A D E S A N T A C E C Í L I A
CÁLCULO DIFERENCIAL E INTEGRAL – Revisão
.
I ) Calcule a derivada das seguintes funções:
	
01) f ( x ) = 3x2 + cos x
	 Resp: f ‘ ( x ) = 6x - sen x
02) f ( x ) = 2x + e x + ln x 
	Resp: f ‘ ( x ) = 2 + e x + 
03) f ( x ) = 
 + 1 - tg x 
	Resp: f ‘ ( x ) = 
 - 
04) f ( x ) = e x . ( 1 + 
 )
	Resp: f ‘ ( x ) = 
05) f ( x ) = 
	Resp: f ‘ ( x ) = 
06) f ( x ) = 
�� EMBED Equation.3 
	Resp: f ‘ ( x ) = 
07) f ( x ) = 
	Resp: f ‘ ( x ) = 
08) f ( x ) = 
	Resp: f ‘ ( x ) = 
09) f ( x ) = 
	Resp: f ‘ ( x ) = 
10) f ( x ) = 
 
	Resp: f ‘ ( x ) = ( x2 + 3x + 5 ) 3 ( 8x + 12 )
11) f ( x ) = 
	Resp: f ‘ ( x ) = 
 
12) f ( x ) = 
 	Resp: f ‘ ( x ) = 
	
13) f ( x ) = ( sen 2x + cos 2x ) 2
	Resp: f ‘ ( x ) = 4 ( cos 2 2x – sen 2 2x )
14) f ( x ) = 
	Resp: f ‘ ( x ) = 
15) f ( x ) = 
	Resp: f ‘ ( x ) = -3 cossec 3x ( 2 cotg2 3x - 1 )
16) f ( x ) = ln cos ( x3 - 5 ) 
	Resp: f ‘ ( x ) = -3 x 2 tg ( x 3 - 5 )
17) f ( x ) = ln 2 sen ( 3x - x 2 )
	Resp: f ‘ ( x ) = (6 – 4x) ln sen ( 3x – x2 ) . cotg ( 3x – x2 )
18) f ( x ) = 
	Resp: f ‘ ( x ) = 
19) f ( x ) = e 3x 
	Resp: f ‘ ( x ) = 
20) f ( x ) = ln3 ( x2 - 2x3 ) 2
	Resp: f ‘ ( x ) = 
21) f ( x ) = sen2 
 
	Resp: f ‘ ( x ) = 
22) f ( x ) = 
	Resp: f ‘ ( x ) = 
23) f ( x ) = 
	Resp: f ‘ ( x ) = -2 
 +  
24) f ( x ) =
	Resp: f ‘ ( x ) = 
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