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Differentiate the functions given in w.r.t. $x : $ $ (x + 3)^2 \: . \: (x + 4)^3 \: . \: (x + 5)^4 $

$\begin{array}{1 1}(x+3)^2.(x+4)^3.(x+5)^4.\begin{bmatrix}\large\frac{2}{x+3}+\frac{3}{x+4}+\frac{4}{x+5}\end{bmatrix} \\ (x+3)^2.(x+4)^3.(x+5)^4.\begin{bmatrix}\large\frac{2}{x-3}+\frac{3}{x-4}+\frac{4}{x+5}\end{bmatrix} \\ (x+3)^2.(x+4)^3.\begin{bmatrix}\large\frac{2}{x+3}+\frac{3}{x+4}+\frac{4}{x+5}\end{bmatrix} \\ (x+3)^2.(x+4)^3.(x+5)^4.\begin{bmatrix}\large\frac{4}{x+3}+\frac{3}{x+4}+\frac{4}{x+5}\end{bmatrix}\end{array} $

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