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DoomDude

What does "symmetry" mean in calc?

  • 2 years ago
  • 2 years ago

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  1. henkjan
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    That there is a mirrorplane/point/line... The equation is similarly shaped on both sides of this mirror

    • 2 years ago
  2. DoomDude
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    but they use it like "Deduce the value of f'(1) f'(2) using symmetry." and give you a graph of

    • 2 years ago
  3. DoomDude
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    1 sec let me get the graph

    • 2 years ago
  4. DoomDude
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    f(x) = x^2

    • 2 years ago
  5. henkjan
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    symmetry axis = x=0 f`(1) = -f`(-1) f'(2) =-f'(-2) Does that help?

    • 2 years ago
  6. DoomDude
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    so is it just flipping the graph?

    • 2 years ago
  7. henkjan
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    More or less. yep

    • 2 years ago
  8. DoomDude
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    but how would flipping a graph give you a value?

    • 2 years ago
  9. henkjan
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    Because the value of the point f'(1) has a relation to the point f'(-1)..

    • 2 years ago
  10. henkjan
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    Though you need to know the value of f'(x) in point -1

    • 2 years ago
  11. DoomDude
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    so would you just add a negative sign in front of it cause it is flipped?

    • 2 years ago
  12. henkjan
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    yes, that is what a mirrorplane does.

    • 2 years ago
  13. henkjan
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    srry, mirrorline in 2D ;P

    • 2 years ago
  14. DoomDude
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    cause in my teachers book, it says "f'(-x) = -f'(x)"

    • 2 years ago
  15. henkjan
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    Yes, that's what I said, right?

    • 2 years ago
  16. DoomDude
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    ya.. so is it that simple, just a negative sign?

    • 2 years ago
  17. henkjan
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    indeed

    • 2 years ago
  18. DoomDude
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    ok, thanks

    • 2 years ago
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