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NDA 2016
Exam
NDA
Year
2016
Subject
Mathematics
Chapter
Differentiation

NDA 2016 · Mathematics · Differentiation

Let f: R arrow R be a function such that f(x)=x^3+x^2 f^ (1)+x f f^...

Let f:R→R\mathrm{f}: \mathrm{R} \rightarrow \mathrm{R} be a function such that f(x)=x3+x2f′(1)+xff′′(2)+f′′′(3)f(x)=x^3+x^2 f^{\prime}(1)+x f f^{\prime \prime}(2)+f^{\prime \prime \prime}(3) for x∈R\mathrm{x} \in \mathrm{R} What is f "'(10) equal to?

Options

  1. A1
  2. B5
  3. C6
  4. D8

Correct answer

C. 6

Step-by-step solution

\mathrmf′′′(10)=6\mathrmf^{\prime \prime \prime}(10)=6
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