函数y=x2lg2+2的x次方lgx的导数在x=1处的值为
问题描述:
函数y=x2lg2+2的x次方lgx的导数在x=1处的值为
答
dy/dx = 2xlg2 + (2^x)(lg2)(lgx) + (2^x)/(xln10)
当 x=1 时,
dy/dx = 2lg2 + 2*(lg2)*0 + 2/ln10
= 2lg2 + 2/ln10
= 1.47065