数研随笔专题练习 · PRACTICE函数与导数小题
函数与导数小题

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已知函数 f(x)=x2−cos⁡xf\left( x\right) = {x}^{2} - \cos x ,则 f(ln⁡22)f\left( \frac{\ln 2}{2}\right) , f(−ln⁡33)f\left( {-\frac{\ln 3}{3}}\right) , f(−ln⁡55)f\left( {-\frac{\ln 5}{5}}\right) 的大小关系为( )
A. f(ln⁡22)<f(−ln⁡33)<f(−ln⁡55)f\left( \frac{\ln 2}{2}\right) < f\left( {-\frac{\ln 3}{3}}\right) < f\left( {-\frac{\ln 5}{5}}\right)
B. f(ln⁡22)<f(−ln⁡55)<f(−ln⁡33)f\left( \frac{\ln 2}{2}\right) < f\left( {-\frac{\ln 5}{5}}\right) < f\left( {-\frac{\ln 3}{3}}\right)
C. f(−ln⁡55)<f(ln⁡22)<f(−ln⁡33)f\left( {-\frac{\ln 5}{5}}\right) < f\left( \frac{\ln 2}{2}\right) < f\left( {-\frac{\ln 3}{3}}\right)
D. f(−ln⁡33)<f(−ln⁡55)<f(ln⁡22)f\left( {-\frac{\ln 3}{3}}\right) < f\left( {-\frac{\ln 5}{5}}\right) < f\left( \frac{\ln 2}{2}\right)

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