Differentiating for fun!

Calculus Level 1

If \( y=\left( 1+x \right) \left( 1+{ x }^{ 2 } \right) \left( 1+{ x }^{ 4 } \right) ...(1+{ x }^{ { 2 }^{ n } })\) , then\( \frac { dy }{ dx }\) at \(x = 0\) is:

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