First slide

Derivatives

Question

$If y = 1 + \frac{x}{1!} + \frac{x^{2}}{2!} + \dots \dots . then \frac{d y}{d x} =$

Easy

A

$e^{x}$
B

$\frac{1}{1 + x}$
C

$\cos x$
D

$\sin x$

Solution

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

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