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DoomDude

  • 3 years ago

What does "symmetry" mean in calc?

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

  2. DoomDude
    • 3 years ago
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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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

  17. henkjan
    • 3 years ago
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    indeed

  18. DoomDude
    • 3 years ago
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    ok, thanks

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