dykeria1112 dykeria1112
  • 07-06-2016
  • Mathematics
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If ƒ(x ) = 3x + 1, then ƒ(a + h ) - ƒ(a ) =

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caylus
caylus caylus
  • 07-06-2016
Hello,

f(a+h)=3(a+h)+1=3a+3h+1
f(a)=3a+1
f(a+h)-f(a)=3a+3h+1-(3a+1)=3h
[tex] \lim_{h \to 0} \frac{f(a+h)-f(a)}{h}=\lim_{h \to 0}\frac{3h)}{h}=3[/tex]

f'(x)=3


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