If y = 1 + x + 2 ! x 2 + 3 ! x 3 + … .∞ , then d x d y is equal to, x, 1, y, None of these

If y = 1 + x + 2 ! x 2 + 3 ! x 3 + … .∞ , then d x d y is equal to

Question: Answered & Verified by Expert

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

MathematicsDifferentiationBITSATBITSAT 2013

Options:

Solution:

2862 Upvotes Verified Answer

The correct answer is: $y$

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

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