Answer to Question #88308 in Calculus for Shivam Nishad

Question

Which of the following statements are true? Give reasons for your answers.
i) If f :R → R is defined by f(x)= x²/(1+x²) then f is increasing on R .

Answer 1

False.

f'(x)= 2x/(1+x²)², f'(x)<0 when x<0. So f(x) decreases for x<0