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Use Logarithmic Differentiation to Differentiate [xexx2+1]\left[ \frac { \sqrt { \mathrm { xe } ^ { x } } } { \mathrm { x } ^ { 2 } + 1 } \right]

question 86

Short Answer

Use logarithmic differentiation to differentiate.
-ln [xexx2+1]\left[ \frac { \sqrt { \mathrm { xe } ^ { x } } } { \mathrm { x } ^ { 2 } + 1 } \right] at x = 1
Enter just a reduced fraction of form ab\frac { a } { b } .


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