Q213 / 270 · NDA 2016 (Phase 1) · Mathematics

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

  • A
    1
  • B
    5
  • Correct answer
    C
    6
  • D
    8

Solution

$\mathrm{f}^{\prime \prime \prime}(10)=6$

Hence, the correct answer is option: 'C'.

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