0\\\\6xe^5>-4\\\\x>\frac{-2}{3e^5}" alt="y=3x^2e^5+4x\\\\y'=6xe^5+4>0\\\\6xe^5>-4\\\\x>\frac{-2}{3e^5}" align="absmiddle" class="latex-formula">
0\\\\e^{5+4x}>0,6>0,x(1+2x)>0\\\\++++(-\frac{1}{2})---(0)++++\\\\x\in (-\infty,-\frac{1}{2})U(0,+\infty)" alt="y=3x^2e^{5+4x}\\\\y'=6xe^{5+4x}+12x^2e^{5+4x} =6xe^{5+4x}(1+2x)>0\\\\e^{5+4x}>0,6>0,x(1+2x)>0\\\\++++(-\frac{1}{2})---(0)++++\\\\x\in (-\infty,-\frac{1}{2})U(0,+\infty)" align="absmiddle" class="latex-formula">