Let f : R → R be a function such that
f(x) = x³ + x²f′(1) + xf″(2) + f‴(3)
for x ∈ R.

Consider the following :

1. f′(2) = f(1) − f(0)

2. f″(2) − 2f′(1) = 12

Which of the above is/are correct?

Mathematics 2016 NDA Mathematics 2016 NDA 2016

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