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Answer to Question #88308 in Calculus for Shivam Nishad
Question #88308
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 .
i) If f :R → R is defined by f(x)= x²/(1+x²) then f is increasing on R .
Expert's answer
False.
f'(x)= 2x/(1+x²)2, f'(x)<0 when x<0. So f(x) decreases for x<0
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