If ƒ(x ) = 3x + 1, then ƒ(a + h ) - ƒ(a ) =

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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 · Answer 1 · 2016-06-07T21:23:50+02:00

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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