1. case 1: a>0( concave upward ) f(2)=4a-2(a-1)-6>0, then a>2 f(-2)=4a+2(a-1)-6>0, then a>4...so that, 2<a<7/2 case 2: a<0( concave downward) f(2)=4a-2(a-1)-6<0, then a<2 f(-2...
...反曲點的定義, 且不十分正確. 反曲點的定義是在點(x,f(x))附近有concavity change : concave upward to concave downward or concave downward to concave upward . 或 在你Q3.裡的f'...
...http://img172.imageshack.us/img172/9568/aaccbr8.png (-∞, 0), (2, ∞)→ concave upward (f''(x) > 0) (0, 2)→ concave downward(f''(x) < 0...
...2.由上 f is increasing ……. f’(g(x))>0 concave upward …. f’ ’(g(x))>0 得g’’(x)<0, is...
... intervalsx = -0.891 ~ 1.168, x >= 2.64 3.intervals of concave upwardx <= 1.168, x >= 1.168 4.intervals of concave downwardx = -0...
...2/sinX < 0 for (0,π) Hence it is concave upward . 2. There exists min y"(X) = -2/sinX >...
...0 when x>2 因此, 曲線在 x<2 是 increasing and concave upward ; 在 x>2 也是 increasing 但 concave downward. 沒有相對極值, 也沒有...