Найти производную: [latex]y=1/ln4*ln(2+2^x)[/latex]

[latex]y=\frac{1}{ln 4}*ln(2+2^x)[/latex]   [latex]y'=(\frac{1}{ln 4}*ln(2+2^x))'=\\\\\frac{1}{ln 4}*(ln(2+2^x))'=\\\\\frac{1}{ln 4}*\frac{1}{2+2^x}*(2+2^x)'=\\\\\frac{1}{ln 4(2+2^x)}*((2)'+(2^x)')=\\\\\frac{1}{ln 4(2+2^x)}*(0+2^x ln2)=\\\\\frac{2^x ln2}{ln 4(2+2^x)}[/latex]