Türev ve Fonksiyon Grafiği

7. Aşağıdaki grafikte $y = f(x)$ eğrisi, $d_1$ doğrusuna; $y = g(x)$ eğrisi, $d_2$ doğrusuna $x = -1$ apsisli noktalarında teğettir. $$d_1 // d_2$$ $h(x) = rac{f(x)}{g(x)}$ olduğuna göre, $h'(-1)$ kaçtır? A) $rac{1}{9}$ B) $rac{2}{9}$ C) $-2$ D) $rac{4}{9}$ E) $rac{4}{3}$

Soruda görsel içerik var: A Cartesian coordinate system is shown with two functions $f(x)$ and $g(x)$. The function $g(x)$ is a red parabola opening upwards and $f(x)$ is a green curve opening downwards, both touching at $x=-1$. There are two parallel lines $d_1$ and $d_2$. Line $d_2$ is tangent to $g(x)$ at $x=-1$ and passes through $(0, 3)$ on the y-axis, with an angle of $45^{\circ}$ to the x-axis. Line $d_1$ is tangent to $f(x)$ at $x=-1$ and passes through $(0, 1)$ on the y-axis. Dotted lines indicate the intersection point coordinates: $(-1, 3)$ for $g(x)$ and $(-1, 1)$ for $f(x)$.