题的意思是：求f(x)=8/√(x^2+3x)在点(1,4)处的切线方程 重点是求函数在x=1处的f'(x)直接求导很麻烦，可采用对数求导法，lnf(x)=ln8-(ln(x^2+3x))/2 两边同时对x求导，f'(x)/f(x)=-(2x+3)/2(x^2+3x)把x=1,f(x)=4带入，得 f'(x)=-5/2 可以求出切线方程为y...
Determine the coordinates of the indicated point by plugging the value of x into the function. For example, to find the tangent line where x = 2 of the function F(x) = -x^2 + 3x, plug x into the function to find F(2) = 2. Thus the coordinate would be (2, 2). Find the de...
百度试题 结果1 题目Find an equation of the tangent line to the graph of the function at the given point.f(x)=e^(3x), (0,1) 相关知识点: 试题来源: 解析 y=3x+1 反馈 收藏
I have already a method that detects one point which is guaranteed to lie between those valleys, and now I want to find the pair of points that represent the "double tangent" around the central point, that is, the line passing between two points that keeps every other points at the...
Find the equation of line tangent to the graph of f(x)=e+ln x at x=1? 答案 e是常数,f'(x)=1/x,所以切线在x=1点的斜率是1,在x=1点的函数值是e.So the equation of the tangent line of graph at x=1 is f(x)=x+e-1相关推荐 1Find the equation of line tangent to the grap...
Find an equation ofthe tangentline to the graph off atthe given pointf(s)=(s-3)(s^2-3),aε(-1,8)y=6s-2y=6+14sy=6s+14○y=-6s+14○y=2s+6 相关知识点: 试题来源: 解析 f(s)=(s-3)(s^2-3) ⇒f(s)=s^3-3s^2-3s+9 ⇒f'(8)=35^2-68-3 ⇒f'(S)=3(-1)^...
【题目】Find the equation of thetangent line at the point(0.1) on the graph of the equationx^3+y+xe^y=1 . 相关知识点: 试题来源: 解析 【解析】Solution :x^3+y+xe^y=1 3x^2+(dy)/(dx)+e^y+xe^y(dy)/(dx)=0 (dy)/(dx)=-(3x^2+e^y)/(1+xe^y) (dy)/(dx)|_((a,y...
在点(3,4/81)求y=4/x^4 对x的偏导d(4x^(-4))/dx=-16x^(-5)把x=3代入,球的直线斜率为-16/243所以equation:y-4/81=-16/243(x-3)同理d(3x^(-4))/dx=-12x^(-5)equation:y-3/625=-12/(5^5) (x-5) 结果一 题目 Find an equation of the line tangent to the graph of 4...
百度试题 结果1 题目Find the equation of thetangent line at the point(0.1)on the graph of the equation. 相关知识点: 试题来源: 解析
Draw imaginary 45-degree line B that intersects y-axis at P2 with a slope of 1 Calculate starting point (P3) of arc S from line B's intersection of arc S (ex: (4.9xx, 199.3xxx)) Here is the part I need help with... ??? Draw rounded-corner from P2 to P3 with radius of g...