Tìm giá trị lớn nhất, giá trị nhỏ nhất của hàm số \(y=f\left( x \right)=\sqrt{{{x}^{2}}+3}-x\ln x\) trên đoạn \(\left[ 1;2 \right]\).
A.\(\underset{\left[ 1;2 \right]}{\mathop{\max }}\,y=2;\,\,\underset{\left[ 1;2 \right]}{\mathop{\min }}\,y=1,25\)
B.\(\mathop {\max }\limits_{\left[ {1;2} \right]} y = 2;\,\,\mathop {\min }\limits_{\left[ {1;2} \right]} y = - 1,25\)
C.\(\underset{\left[ 1;2 \right]}{\mathop{\max }}\,y=1,25;\,\,\underset{\left[ 1;2 \right]}{\mathop{\min }}\,y=-2\)
D.\(\mathop {\max }\limits_{\left[ {1;2} \right]} y = - 1,25;\,\,\mathop {\min }\limits_{\left[ {1;2} \right]} y = - 2\)
A.\(\underset{\left[ 1;2 \right]}{\mathop{\max }}\,y=2;\,\,\underset{\left[ 1;2 \right]}{\mathop{\min }}\,y=1,25\)
B.\(\mathop {\max }\limits_{\left[ {1;2} \right]} y = 2;\,\,\mathop {\min }\limits_{\left[ {1;2} \right]} y = - 1,25\)
C.\(\underset{\left[ 1;2 \right]}{\mathop{\max }}\,y=1,25;\,\,\underset{\left[ 1;2 \right]}{\mathop{\min }}\,y=-2\)
D.\(\mathop {\max }\limits_{\left[ {1;2} \right]} y = - 1,25;\,\,\mathop {\min }\limits_{\left[ {1;2} \right]} y = - 2\)
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