作者GLP (^__________^)
看板trans_math
标题Re: [考古]
时间Wed May 20 08:18:11 2009
※ 引述《qqazw5789tw (嘟嘟)》之铭言：
: 1 Find the slope of line targent to the graph y^2+x^y=3x^2 at the point (2.2)
隐函数微分
: 2 find the area of the region enclosed by the lemniscate r^2=cos(2Θ)
积分应用 画个图 A=1
: 3 find the directional derivative of f(x,y)=xe^-y at the point (1,0)in the
: direction Θ=π/4
方向导数 双变函数章节 亦有书编列在向量章节
: 4 ∫arc sinx dx
普通不定积分
: 5 suppose g is inverse function of a differentiable function f and let
: G(x)=1/g(x) if f(3)=2 and f'(3)=1/9 then G'(2)=?
反函数微分 在微分章节会提到
: 6 ∫上为π/8 下为0 cos3xcosxdx =?
普通积分 2cosmxcosnx = cos(m+n)x+cos(m-n)x
: 7 the equation of targent line to the graph of the function f(x)=x/1+√x
: at the point (1,1/2) is ?
也是微分 求出斜率 代y-y0 = m (x-x0)
: 8 evaluate the inerated integral ∫上为1 下为0 x^5 * x^3+1开根号 dx
β function
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※ 发信站: 批踢踢实业坊(ptt.cc)
◆ From: 58.115.135.114
1F：推 fdhs688:第8题是 Beta function? 210.203.31.136 05/20 22:35
2F：→ yhliu:No! x5 = x^2(x^3+1)-x^2, 拆成两项积分, 用 218.170.59.200 05/21 10:29
3F：→ yhliu:u=x^3+1 变数代换. 218.170.59.200 05/21 10:30