Question

F(x)=x e-x has Max Value for x=​

Answer 1

f(x)=e

x

f

′

(x)=e

x

Now, if f

′

(x)=0⟹e

x

=0

But, the exponential function can never assume zero for any value of x.

Therefore, there does not exist c∈R such that f

′

(c)=0.

Hence, function f does not have maxima or minima.