极限的问题是我不懂题目要做甚麽 (去补习班求救过了,辅导老师也没辄) 微分的那题则是看不懂讲义上的详解 ----------------------------------------- { 1/x 1.Let H(x)=| e ,x<0 | m ,x=0 { asin(x)+bcos(X)+cx ,x>0 Find conditions of m,a,b,c, such that, respectively (1) H(x) is continuous everywhere (2) H(x) is differentiable everywhere (3) H(x) has an inflection point at x=0 讲义上的答案如下 (1) b=m=0 (2) b=m=0, a+c=0 (3) b=m=0, a≧0 第一小题我提目看得懂,但看到解答就傻眼了 第二和第三小题是不懂题目要做甚麽 ---------------------------------------------------- 2.求证 (1) (sinhx)′=coshx (2) (coshx)′=sinhx 2 (3) (tanhx)′=sech x 2 (4) (cothx)′=－csch x **h = hyper** 讲义上的解答如下 x -x x -x [ e －e ]′ e + e (1) (sinhx)′=|————| = ————— = coshx [ 2 ] 2 x -x x -x [ e +e ]′ e + e (2) (coshx)′=|————| = ————— = sinhx [ 2 ] 2 2 2 [ sinhx ]′ cosh x－sinh x 1 2 (3) (tanhx)′=|————| = ———————— = ———— = sech x [ coshx ] 2 2 cosh x cosh x 2 2 [ coshx ]′ sinh x－cosh x 1 2 (4) (cothx)′=|————| = ———————— = ———— = －csch x [ sinhx ] 2 2 sinh x sinh x 这题...我不会算 讲义中的观念没有提到hyper hyper的题目讲义里仅此一题 ----------------------------------------------------------------------- 以上两题 来跟版上的高手们求救 --

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