Question

найти производную функции y=(x+4)^x

Answer 1

Y=(x+4)^x=e^[ln((x+4)^x)]=e^[x*ln(x+4)]
Y' =e^[x*ln(x+4)]*[ln(x+4)+x/(x+4)]
Y' =(x+4)^x*[ln(x+4)+x/(x+4)]