...由上 f is increasing ……. f’(g(x))>0 concave upward …. f’ ’(g(x))>0 得g’’(x)<0, is...
...quot;(c) > 0 since the curves of y = f(x) and y = g(x) open downward and upward respectively. Hence, f"(c) - g"(c) < 0 h"(c...
...at (a,b) has normal vector equal to ▽f(a,b) + k = k, where k is the upward unit vector in the z axis. Hence it is horizontal. 7. NO...
... < 0 for (0,π) Hence it is concave upward . 2. There exists min y"(X) = -2/sinX >...
...r = 0 + 0 + [∂(40r+2r^2)/∂r - 0]*z/r= (40 + 4r)*z/r= (40/r + 4)*z= (40/r + 4) ( Upward ) 3. 同心圓柱桶內流體之平均散度（divergence）。 ▽.V= ∂(ru)/r∂r + ∂v...
...1, -1, -1)‧(1, 4, 1)*[1/(1, 4, 1)‧(0, 0, 1)]*dxdy for N = (1, 4, 1) an upward -pointing normal vector =∫∫(-1 - 4 -1)*1/1*dxdy over region R the...
...3) t=1, (x, y)=(-7, 6) 2009-05-05 22:31:00 補充： 凹向上: concave upward , 斜率函數遞增, 二階導函數>0
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...
