DoomDude
What does "symmetry" mean in calc?



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

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

DoomDude
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1 sec let me get the graph

DoomDude
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f(x) = x^2

henkjan
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symmetry axis = x=0
f`(1) = f`(1)
f'(2) =f'(2)
Does that help?

DoomDude
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so is it just flipping the graph?

henkjan
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More or less. yep

DoomDude
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but how would flipping a graph give you a value?

henkjan
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Because the value of the point f'(1) has a relation to the point f'(1)..

henkjan
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Though you need to know the value of f'(x) in point 1

DoomDude
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so would you just add a negative sign in front of it cause it is flipped?

henkjan
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yes, that is what a mirrorplane does.

henkjan
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srry, mirrorline in 2D ;P

DoomDude
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cause in my teachers book, it says "f'(x) = f'(x)"

henkjan
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Yes, that's what I said, right?

DoomDude
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ya.. so is it that simple, just a negative sign?

henkjan
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indeed

DoomDude
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ok, thanks