Алгебра, 4, 5, 6, заранее спасибо.

4a. $5^{ \sqrt{3}- \sqrt{3}}*5^{5-4}=1*5=5$
4б. $\sqrt{(257-32)(257+32)}= \sqrt{225}* \sqrt{289}=17*15=255$
4в. $\frac{\log_{9}22}{ \frac{1}{2}\log_{9}22 } =2$
4г. $36* \sqrt{6}* \frac{ \sqrt{3} }{3}* \frac{ \sqrt{2} }{2}= 6* \sqrt{6}* \sqrt{6}=36$

5а. $y'(x)= \frac{4}{Cos^{2}4x }+ \frac{3}{2 \sqrt{3x-2}}+2^{x}*\ln2$
5б. $y'(x)= \frac{3 x^{2} -2}{2 \sqrt{ x^{3}-2x } }$
5в. $y'(x)= \frac{e^{x}*Sinx-e^{x}*Cosx}{Sin^{2}x}= \frac{e^{x}(Sinx-Cosx)}{Sin^{2}x}$

6. $-\log_{3}(4x+1)\ \textless \ -3$ ⇒ $\log_{3}(4x+1)\ \textgreater \ 3$
ОДЗ: 4x+1>0 ⇒ x>-0,25
$\log_{3}(4x+1)\ \textgreater \ \log_{3}27$
4x+1>27 ⇒ x>6,5