Lista5Fadep (Derivadas)

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FACULDADE DE PATO BRANCO
Rua Benjamim Borges dos Santos, 21 – Bairro Fraron 
Telefone/Fax..: (046) 3220-3000
			Pato Branco – PR, CEP 85530-350
Internet: http://www.fadep.br
Lista 5 de Exercícios de Cálculo 1
1) Usando a definição determine a derivada das seguintes funções:
a)
 	R= 
b) 
 	R= 
 
c) 
 	R = 
d) 
 	R= 
2) Derive as funções a seguir, aplicando os teoremas vistos:
a) 
 R= 7
b) 
 R = 
c) 
 R = 
d) 
 R = 
e) 
 R = 
f) 
 R = 
g) 
 R = 
h) 
 R = 
i) 
 R= 
j) 
 R = 
k) 
 R = 
l) 
 R = 
m) 
 R = 
n) 
 R = 
o) 
 R = 
p) 
 R = 
q) 
 R = 
r) 
 R = 
s) 
			 R = 
t) 
				 R = 
u) 
		 R = 
v) 
			 R = 
 w) 
 R = 
x) 
	 R = 
y) 
 R = 
z) 
 R = 
a1) 
 R = 
b1) 
 R = 
c1) 
 			 R = 
		
 d1) 
 			 R = 
e1) 
 		 R = 
f1) 
 		 R = 
g1) 
 R = 
h1)
 	 R=3cosx
i1)
 R = sec2x – cossec2x
j1)
 	 R=2(cosx - x.senx)
l1)
 	 R= x.cosx
m1)
 	 R=4 cos(2x)
n1)
 R=
o1) 
 R=
3) Determine a inclinação da reta tangente de cada uma das funções nos pontos dados: 
a)
 	em x=0 R= 7
b) 
 	em x=1 R = - 4
c) 
 	em x=9 R = 
d) 
 	em x=1/4 R = 
e) 
 	em x=1 R = 0 
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