Extrema

Task number: 3047

Find the global and local extrema of the functions, and sketch their graphs.

  • Variant 1

    \(\displaystyle f(x)=\frac{|2x-1|}{(x-1)^2} \)

  • Variant 2

    \(\displaystyle f(x)=\exp\left(\frac{x^2+1}{x^2-1}\right) \)

  • Variant 3

    \(\displaystyle f(x)=\ln\left(|x|-x^2\right) \)

  • Variant 4

    \(\displaystyle f(x)=\arcsin\left(\frac{2x}{1+x^2}\right) \)

Difficulty level: Moderate task
Routine calculation training
Cs translation
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