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Question

If f(x)=x1x+2, then df1(x)dx is equal to

A
1(1x)2
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B
3(1x)2
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C
3(1x)2
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D
1(1x)2
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Solution

The correct option is C 3(1x)2
f(x)=x1x+2
Let y=x1x+2yx+2y=x1
(y1)x=12yx=2y+11y
df1(x)dx=(1x)2+(2x+1)(1)(1x)2=3(1x)2

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