Question

F(x) = (-4x^3+1)^4-(2-x)^5 найти производную

Answer 1

-8(-4x^3+1)^3+5(2-x)^4

Answer 2

$F;'big(xbig)=bigg(;Big(-4x^3+1Big)^4-Big(2-xBig)^5;bigg)'=bigg(;Big(-4x^3+1Big)^4;bigg)'-bigg(;Big(2-xBig)^5;bigg)'=\\\=4*Big(-4x^3+1Big)^3*Big(-4x^3+1Big)'-5*Big(2-xBig)^4*Big(2-xBig)'=\\\=4*Big(-4x^3+1Big)^3*Big(-12x^2Big)-5*Big(2-xBig)^4*Big(-1Big)=\\\=5*Big(2-xBig)^4-48x^2*Big(-4x^3+1Big)^3=5*Big(2-xBig)^4+48x^2*Big(4x^3-1Big)^3$

$boxed{bigg{;;F;'big(xbig)=5*Big(2-xBig)^4+48x^2*Big(4x^3-1Big)^3;;}}$