AM-1758

Product rule

A Math · Secondary 4 · Hard · Product rule

The displacement of a particle is given by

s = 3t^2\ln(2t+1)

, where

s

is in metres and

t

in seconds. Find its velocity

v

in terms of

t

.

$6t\ln(2t+1)+\dfrac{6t^2}{2t+1}$
$6t\ln(2t+1)+\dfrac{3t^2}{2t+1}$
$3t^2\ln(2t+1)+\dfrac{6t}{2t+1}$
$6t\ln(2t+1)+\dfrac{2t^2}{2t+1}$

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