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Differentiate xx+1 with respect to x...

Differentiate xx+1 with respect to x

A.

1x+1

B.

1(x+1)2

C.

1xx+1

D.

1x(x+1)2

Correct answer is B

y=xx+1

Using quotient rule because the function is of the form u(x)v(x)

dydx=vdudxudvdxv2

dydx=(x+1).1x.1(x+1)2

= 1(x+1)2