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It's a2 times the same thing. Okay? So again,
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the potential energy is constant. Right?
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It doesn't change with position.
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But what is different?
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It has higher kinetic energy if it's a shorter wavelength.
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And notice that the kinetic energy is proportional
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to one over the wavelength squared, right?;
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a2; a shortens the wave, it's proportional to a2,
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one over the wavelength squared.
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Okay. Now let's take another function, exponential,
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so ex. What's the second derivative of ex?
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Pardon me?