Whats the difference between e^2x and e^x2 ??? Watch

ftsoft
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joostan
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(Original post by ftsoft)
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If that's e^{2x} and e^{x^2} then the difference is quite marked.
e^{2x}=(e^x)^2, \ e^{x^2}=(e^x)^x.
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RichE
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(Original post by ftsoft)
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As you've written it, perhaps nothing. You need some care with you exponents.

If you meant

e^(2x) and e^(x^2)

then the latter is much bigger in general.

For example if x is 3 then

e^(2x) = e^6
e^(x^2) = e^9

Do note also that (e^x)^2 = e^(2x) so

(e^x)^2 is not the same as e^(x^2)

in general.
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