anonymous
  • anonymous
the derivative of 2x^2 I need to know how to solve this using the derivative as a function... (using limits)
Mathematics
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anonymous
  • anonymous
the derivative of 2x^2 I need to know how to solve this using the derivative as a function... (using limits)
Mathematics
jamiebookeater
  • jamiebookeater
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amistre64
  • amistre64
\[\lim_{h->0}\frac{f(x+h)-f(x)}{h}\]
anonymous
  • anonymous
I already know that formula, i need to know how to use it....
amistre64
  • amistre64
\[\lim\frac{2(x+h)^2-2x^2}{h}\] \[\lim\frac{2(x^2+2xh+h^2)-2x^2}{h}\] \[\lim\frac{2x^2+4xh+2h^2-2x^2}{h}\] \[\lim\frac{\cancel{2x^2}+4xh+2h^2\cancel{-2x^2}}{h}\] \[\lim\frac{4xh}{h}+\frac{2h^2}{h}\] \[\lim\frac{4x}{1}+\frac{2h}{1}\]

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amistre64
  • amistre64
if you know the formula, you know how to use it :/
amistre64
  • amistre64
now, when h=0; 4x+2h = 4x
amistre64
  • amistre64
when I first did these the "x" part of the function confused me a bit since they used x as part of the substituions
amistre64
  • amistre64
f(x+h) should be written better as say: f(a+h) maybe so that you know to replace "x" by whats in the ( )
anonymous
  • anonymous
ok, now i get it thanks alot
amistre64
  • amistre64
youre welcome, and good luck :)

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