Let $z = \ln \left( x ^ { 2 } + 2 x y + 2 y \right) , x = t ^ { 2 } + 3 , y = t + \sqrt { t }$

Essay

Let $z = \ln \left( x ^ { 2 } + 2 x y + 2 y \right) , x = t ^ { 2 } + 3 , y = t + \sqrt { t }$ Find dz/dt at t = 1 using the chain rule.Give your answer to 4 decimal places.