Question

f(x)= logₑ(1+x²) x ∈ R,Find the maximum and minimum value of the given function.

Answer 1

Dear Student:

F(x)= logₑ(1+x²) x ∈ R

For,maximum and minimum  

We will find df/dx and then equate to zero.

And then again proceed for second derivative and see it is negative or positive.

If it is positive then f will be minimum

And if negative then f maximum

See the attachment:

Answer 2

In the attachment I have answered this problem.

I have applied second derivative test to find the solution.

See the attachment for detailed solution.