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Question

The Derivative of ex


A

ex

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B

ex+1

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C

xex

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D

e2x

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Solution

The correct option is A

ex


To find derivate of ex.
limh0=e(x+h)exh=limh0ex.ehexh
= limh0ex(eh1)h
Expansion of eh=1+h+12h2+16h3+.....
(eh1h)=(1+h+12h2+....)1h
= hh+12h+16h2+....
as h0=(eh1h)1+0+0+....
limh0ex(eh1)h=ex(1)=ex
f(x)=ex where f(x)=ex.


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