Question

compute the first derivates of the following function y=ln((1+3x)^4/(sq rt(2x+2))

Answer 1

\[ \frac{ d }{dx } lna= \frac{ a' }{ a }\]
So you must use the quotient rule on this one.
\[\frac{ (\sqrt{2x+2}*\frac{ d }{ dx }\ln(1+3x))-(\ln(1+3x)*\frac{ d }{ dx }\sqrt{2x+2} }{ 2x+2 }\]