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BITSAT 2013

Exam: BITSAT
Year: 2013
Subject: Mathematics
Chapter: Differentiation

BITSAT 2013 · Mathematics · Differentiation

If y=1+x+ x^ 2 2 ! + x^ 3 3 ! + . ∞, then (d y)/(d x) is equal to

If

y=1+x+\frac{x^{2}}{2 !}+\frac{x^{3}}{3 !}+\ldots. \infty,

then

\frac{d y}{d x}

is equal to

Options

A $x$
B1
C $y$
DNone of these

Correct answer

C. $y$

Step-by-step solution

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

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