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Quotient Rule for Differentiation

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Let the function uu be defined by u(t)=tt+1u(t)=\frac{t}{t+1}. Which of the following is u′(t)u'(t)?

A

u′(t)=−1(t+1)2u'(t)=\frac{-1}{(t+1)^2}

B

u′(t)=1(t+1)2u'(t)=\frac{1}{(t+1)^2}

C

u′(t)=1t+1u'(t)=\frac{1}{t+1}

D

u′(t)=t(t+1)2u'(t)=\frac{t}{(t+1)^2}

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