anonymous
  • anonymous
What does "symmetry" mean in calc?
Mathematics
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anonymous
  • anonymous
What does "symmetry" mean in calc?
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
That there is a mirrorplane/point/line... The equation is similarly shaped on both sides of this mirror
anonymous
  • anonymous
but they use it like "Deduce the value of f'(1) f'(2) using symmetry." and give you a graph of
anonymous
  • anonymous
1 sec let me get the graph

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anonymous
  • anonymous
f(x) = x^2
anonymous
  • anonymous
symmetry axis = x=0 f`(1) = -f`(-1) f'(2) =-f'(-2) Does that help?
anonymous
  • anonymous
so is it just flipping the graph?
anonymous
  • anonymous
More or less. yep
anonymous
  • anonymous
but how would flipping a graph give you a value?
anonymous
  • anonymous
Because the value of the point f'(1) has a relation to the point f'(-1)..
anonymous
  • anonymous
Though you need to know the value of f'(x) in point -1
anonymous
  • anonymous
so would you just add a negative sign in front of it cause it is flipped?
anonymous
  • anonymous
yes, that is what a mirrorplane does.
anonymous
  • anonymous
srry, mirrorline in 2D ;P
anonymous
  • anonymous
cause in my teachers book, it says "f'(-x) = -f'(x)"
anonymous
  • anonymous
Yes, that's what I said, right?
anonymous
  • anonymous
ya.. so is it that simple, just a negative sign?
anonymous
  • anonymous
indeed
anonymous
  • anonymous
ok, thanks

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