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Question: The value of the derivative of \(\frac{m^{x}}{x!}.e^{- m}\) at \(\frac{m^{x}}{x!}.e^{m}\) is...

The value of the derivative of mxx!.em\frac{m^{x}}{x!}.e^{- m} at mxx!.em\frac{m^{x}}{x!}.e^{m} is

A

–2

B

0

C

2

D

Not defined

Answer

0

Explanation

Solution

Let

=

=

Since, f(x)f ( x )= 2 for 1x<31 \leq x < 3. Therefore f(x)=0f ^ { \prime } ( x ) = 0 for all

x(1,3)x \in ( 1,3 ).

Hence, f(x)=0f ^ { \prime } ( x ) = 0 at x=2x = 2 .