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(Solved): Find the value of \( (f \circ g)^{\prime} \) at the given value of \( x \). \[ f(u)=\frac{2 u}{u^{2 ...
Find the value of \( (f \circ g)^{\prime} \) at the given value of \( x \). \[ f(u)=\frac{2 u}{u^{2}+2}, u=g(x)=2 x^{2}+7 x+4, x=0 \] \( (f \circ g)^{\prime}(0)=\frac{4}{9} \) (Type an integer or a simplified fraction.)