What is the derivative of ln(xe^5x)?
I will assume you meant
ln (x e^(5x) )
which is
= lnx + ln e^(5x)
= lnx + 5x(lne) but lne = 1
= lnx + 5x
the derivative is
1/x + 5 or (1+ 5x)/x
ln (x e^(5x) )
which is
= lnx + ln e^(5x)
= lnx + 5x(lne) but lne = 1
= lnx + 5x
the derivative is
1/x + 5 or (1+ 5x)/x