Найдите производную у=ln(x+6)^8 -8x

Question

Найдите производную у=ln(x+6)^8 -8x

Answer 1

y' = (ln(x+6)⁸-8x)`=8(x+6)^7/(x+6)⁸-8=8/(x+6)-8=8(1/(x+6)-1)=8(1-(x+6))/(x+6)=-8(x+5)/(x+6)