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What does "symmetry" mean in calc?

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

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Other answers:

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

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