![image](https://tex.z-dn.net/?f=y%3D%28x%2B4%29%5E2%28x%2B2%29-10%0Ay%27%3D2%28x%2B4%29%28x%2B2%29%2B%28x%2B4%29%5E2%3D%5C%5C%0A%3D2%28x%2B4%29%28x%2B2%2Bx%2B4%29%3D2%28x%2B4%29%282x%2B6%29%5C%5C%0A%0Ay%27%3D0%5C%5C%0A2%28x%2B4%29%282x%2B6%29%3D0%5C%5C%0Ax%3D-4%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C+x%3D-3%5C%5C%0A%28-%5Cinfty%3B-4%29+%5C%2C%5C%2C%5C%2C+y%27%3E0+%5Ctext%7B%D1%84%D1%83%D0%BD%D0%BA%D1%86%D0%B8%D1%8F+%D0%B2%D0%BE%D0%B7%D1%80%D0%B0%D1%81%D1%82%D0%B0%D0%B5%D1%82%7D%5C%5C%0A%28-4%3B-3%29+%5C%2C%5C%2C%5C%2Cy%27%3C0++%5C%5C%0A)
0 \text{функция возрастает}\\
(-4;-3) \,\,\,y'<0 \\
" alt="y=(x+4)^2(x+2)-10
y'=2(x+4)(x+2)+(x+4)^2=\\
=2(x+4)(x+2+x+4)=2(x+4)(2x+6)\\
y'=0\\
2(x+4)(2x+6)=0\\
x=-4\,\,\,\,\,\,\,\, x=-3\\
(-\infty;-4) \,\,\, y'>0 \text{функция возрастает}\\
(-4;-3) \,\,\,y'<0 \\
" align="absmiddle" class="latex-formula">
Точка максимума
x=-4