A-Level Further Maths: A1-33 Proof by Induction: Product Rule and Equivalent Forms Problem

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Lool we did this exact q from the ocr mei book in class todat and everyone took like 30 mins ro do it. I need to practice more of these qs that conbine topics.

anish
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Could the base case just be n=0, as the 0th derivative is defined to be the function itself? Great video, that was one of the hardest base cases I have seen though haha.

jamminermit
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Is there any way to derive results such as this one for nth derivatives rather than just proving it by induction?

y.m.