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Let y = 1/(4x2 + 2x + 1)
Now, dy/dx = d{1/(4x2 + 2x + 1)}/dx
=> dy/dx = {(4x2 + 2x + 1)*d(1)/dx - 1 * d(4x2 + 2x + 1)/dx}/(4x2 + 2x + 1)2
=> dy/dx = -(8x + 2)/(4x2 + 2x + 1)2