The value of the derivative of the function y = x2lg2 + 2 to the x power lgx at x = 1 is

dy/dx = 2xlg2 + (2^x)(lg2)(lgx) + (2^x)/(xln10)
When x = 1,
dy/dx = 2lg2 + 2*(lg2)*0 + 2/ln10
= 2lg2 + 2/ln10
= 1.47065

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