1) y = 4^(1-√x)
y'= 4^(1-√x) * (1 - √x)' * ln4 = - lnx*4^(1-√x)/2√x
2) y = e^(3x + 5)²
y' = e^(3x +5)² * ((3x +5)²)' = e^(3x +5)² * 6(3x +5)
3) y = ln(ln(x)
y'= 1/lnx * 1/x= 1/(xlnx)
4)y = lg(x² +1) = ln(x² +1) / ln10
y' = 1/(x² +1) * 2x/ln10= 2x/((x² +1)ln10)