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If a particle starts moving along a straight line with initial velocity \( u \) under constant acceleration \( a \), its displacement with time is given by the relation
\[
x=u t+\frac{1}{2} a t^{2}
\]
Differentiation of ' \( x \) ' w.r.t. ' \( t \) ' will be
(A) \( y=\frac{a t}{2} \)
(B) \( u+a t \)
(C) \( u+2 a t \)
(D) \( \frac{u t^{2}}{2}+\frac{a t^{2}}{6} \)
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