Lista1-Derivadasa194625

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1ª Lista de Exercícios – Prof. Ivete
DERIVADAS
I - Determine a função derivada nos seguintes casos:
	1) f(x) = x15
	6) f(x) = 105
	11) f(x) = 
 + 3x5
	16) f(x) = 
	2) f(x) = 4x7
	7) f(x) = 
	12) f(x) = 
	17) f(x) = x2.(2x + 3)
	3) f(x) = x2 + 7x + 1
	8) f(x) = 
x8 +6x3+ 3
	13) f(x) = (x2 + 3x)(x3 – 1)
	18) f(x) = 
	4) f(x) = 6x + 2x2 + 7
	9) f(x) = 3x6
	14) f(x) = 
 + 6x
	19) f(x) = 
	5) f(x) = 
	10) f(x) = 
- 4x
	15) f(x) = 
- 2x + 3
	20) f(x) = 
RESPOSTAS
	1) f’(x) = 15x14
	6) f’(x) = 0
	11) f’(x) = -
	16) f’(x) = -
	2) f’(x) = 28x6
	7) f’(x) = 
	12) f’(x) = 
	17) f’(x) = 6x2 + 6x
	3) f’(x) = 2x + 7
	8) f’(x) = 18x7 + 18x2
	
13) f’(x) = 5x4 + 12x3 – 2x - 3
	18) f’(x) = -
	4) f’(x) = 6 + 4x
	9) f’(x) = 18x5
	14) f’(x) = 
 + 6
	19) f’(x) = 
	5) f’(x) = 
x3 - 8
	10) f’(x) = - 
- 4
	15) f’(x) = 
 - 2
	20) f’(x) = 
II - Utilizando a tabela de derivadas e as regras de derivação, calcule as derivadas:
	
1) f(x) = x2.cosx
	
4) f(x) = (4 – 2x).ex
	
7) f(x) = 5senx - 8cosx
	
10) f(x) = cossecx – 7x3
	2) f(x) = 3x3 – tgx + 4
	5) f(x) = 
	8) f(x) = 
	11) f(x) = ex . lnx
	3) f(x) = lnx + ex – 7x
	6) f(x) = 
	9) f(x) = 
	12) f(x) = tgx - 
 + 
�� EMBED Equation.3 
RESPOSTAS
	
1) f’(x) = 2xcosx – x2senx
	
4) f’(x) = ex(2 – 2x)
	
7) f’(x) = 5cosx + 8senx
	
10) f’(x) = - cossecx.cotgx – 21x2
	2) f’(x) = 9x2 – sec2x
	5) f’(x) = 
	8) f’(x) = 
	11) f’(x) = ex.lnx + 
	3) f’(x) = 
 + ex - 7
	
6) f’(x) = sec2x
	
9) f’(x) = tgx . secx
	12) f’(x) = sec2x + 
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