[積分] 幾題微積分題目求答案
小的即將要轉學考了,無奈做完了練習題沒有答案,所以在此向板上的高手們求答案
不需要計算過程~我只是想核對答案而已,感激不盡!!
1.How many points of inflection does the function f(x)=3x^5-10x^3+5 have?
2.On what interval is the graph of f(x)=(1-1/x)^2 concave downward?
3.Determine the largest interval on which the function f(x)=(x+1)/x is
concave upward.
4.If y=tanx, find f"(π/4)
5.Find the value of the limit lim (cosx-1)/2x
x→0
6.Find the value of the limit lim sin6t/sin4t
t→0
7.Find the derivative of f(x)=sin^2‧x
8.Find the derivative of f(x)=tanx/x^3
9.Find the derivative of f(x)=sin^3‧x
10.Find the derivative of f(x)=sin(x^3)
11.If f(x)=cos2x, find the value of f^(8)‧(0)
12.Let f(x)=x^3 on the interval [0, 2]. Let the interval be divided into two
equal subintervals. Find the value of the Riemann sum n * is the
midpoint of its subinterval. Σ (x )△x
i=1 i i
1
13.Find the value of the integral ∫(x+1)^2dx
0
8
14.Find the value of the integral ∫x^1/3dx
-1
1
15.Find the value of the integral∫1/(1+x^2)dx
0
π/4
16.Find the value of the integral∫sin^2xcosxdx
0
π/3
17.Find the value of the integral∫secxtanx(1+secx)dx
0
4
18.Find the value of the integral∫1/(1+x^1/2)^2(1/x^1/2)dx
1
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◆ From: 180.177.216.25
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※ 編輯: four26 來自: 180.177.216.25 (07/13 02:38)
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