⦁ Determine a derivada das funções abaixo. Para isso, utilize o conceito da derivada como um limite lembrando que
f(x)=lim = F(x+delta x) - f(x) dividido por delta X
delta x ->0
reconmento que monte a conta em um caderno pois aqui nao sai o dividido e o simbolo do delta que eh o triangulo
essa ai eh a formula usada para fazer as seguintes contas
f(X)= 2x+2
f(X)=3x²+2x
f(X)=x²+x
quem puder me ajudar porfavor , eh nota de prova
Soluções para a tarefa
Respondido por
1
Derivadas usando a definição
a)
Lim 2(x+h) + 2 - (2x+2)
h-->0 ----------------------------
h
Lim 2x+2h + 2 - 2x- 2
h-->0 ----------------------------
h
Lim 2h
h-->0 ----------------------------
h
Lim 2 = 2 é a resposta
h-->0
#########################################
b)
Lim 3(x+h)² + 2(x+h) - (3x²+2x)
h-->0 --------------------------------------
h
Lim 3x²+6xh+h²+ 2x +2h - 3x²-2x
h-->0 --------------------------------------
h
Lim 6xh+h²+2h
h-->0 --------------------------------------
h
Lim 6x+h+2
h-->0 -----------------= 6x+0+2 = 6x+2 é a resposta
#########################################
c)
Lim (x+h)² +(x+h) - (x²+x)
h-->0 ----------------------------
h
Lim x²+2xh+h² +x+h - x²-x
h-->0 ---------------------------------------
h
Lim 2xh+2h² +h
h-->0 ----------------------
h
Lim 2x+2h² + 1 = 2x +1 é a resposta
h-->0
iani:
certao , ajudo mt , vlww
Respondido por
2
Substitui o Δx por h
f(x)=2x+2





f(x)=3x²+2x







f(x)=x²+x







f(x)=2x+2
f(x)=3x²+2x
f(x)=x²+x
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