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The function f(x) = x/(x² + 1) has derivative f'(x) =… | StemPy Lab

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The function f(x) = x/(x² + 1) has derivative f'(x) = (1 - x²)/((x² + 1)²). On which interval is f strictly increasing?

MathematicsMediumHigh School (11–12)Functions and Calculus › Application of Derivatives A-Level AEEE (Amrita)AMUEEE AP AP EAPCET BCECE COMEDK UGET GUJCET IB JCECE JKCET KCET KEAM KIITEE LPUNEST MET (Manipal)MHT-CET OJEE SRMJEEE TS EAPCET UPESEAT VITEEE

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The function $f(x) = \dfrac{x}{x^2 + 1}$ has derivative $f'(x) = \dfrac{1 - x^2}{(x^2 + 1)^2}$ . On which interval is $f$ strictly increasing?

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