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Originally Posted by Slavakion
Is there a shortcut to finding second/third/... derivatives? Not that it's difficult (yet), but it gets tedious. Especially when you get the evil ones with multiple chain rules.
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I don't think that there is, I think you just have to suck it up and punch it out. However, if you're dealing with trig or exponential functions you can occasionally rewrite the derivates in terms of the original function. Such as
f(x) = sin x
f'(x) = cos x
f''(x) = - sin x = - f(x)
f'''(x) = - f'(x) = - cos x
and so on...
But for the most part I think you just have to do it the long way.