Q68 / 125 · BITSAT 2013 · Mathematics

If $y=1+x+\frac{x^{2}}{2 !}+\frac{x^{3}}{3 !}+\ldots . \infty,$ then $\frac{d y}{d x}$ is equal to

  • A
    $x$
  • B
    1
  • Correct answer
    C
    $y$
  • D
    None of these

Solution

$y=e^{x} \Rightarrow \frac{d y}{d x}=e^{x}=y$

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

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