Question

Найдите производное
У(х) =х^2*2^х

Answer 1

$y(x)=x^2cdot2^x\\y'=(x^2)'cdot2^x+x^2cdot(2^x)'=2xcdot2^x+x^2cdot2^xcdotln2=boxed{xcdot2^x(2+xln2)}$