#Quick question about differentiation

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lunar flume
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Hi, so I’m currently going through calculus with a few books. In two of my books they use the standard way of doing differentiation, but in the other book it goes a slightly different way and I’m just looking for a bit of explanation on how they are similar and how they are different ways to do differentiation

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lunar flume
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I’ll send a photo of it in just a second

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(A is a constant)

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Quick question about differentiation