Türev Grafiği ve İkinci Türev İlişkisi

Yukarıda türevinin grafiği verilen $f(x)$ fonksiyonu ile ilgili

I. $f''(-2) = 0$

II. $f''(0) > 0$

III. $f''(-3) > 0$

önermelerinden hangileri doğrudur?

A) Yalnız I

B) Yalnız II

C) I ve II

D) I ve III

E) I, II ve III

Soruda görsel içerik var: A Cartesian coordinate system showing the graph of the first derivative function f'(x). The x-axis and y-axis intersect at the origin. The function f'(x) touches the x-axis at x = -2 (a local minimum of f'(x)) and crosses the x-axis at x = 1. Between x = -2 and x = 1, the curve is above the x-axis, reaching a local maximum between x = 0 and x = 1. At x = 0, the curve has a positive slope. For x values less than -2, the curve is decreasing. For x values greater than the local maximum, the curve decreases and crosses the x-axis at x = 1 into negative y values.