equation of the line tangent 公式我们要找出直线与曲线相切的方程。 首先,我们需要知道切线的定义和性质,然后使用这些性质来找出切线的方程。 假设曲线方程为 y = f(x),切点为 (x0, f(x0))。 切线的斜率等于函数在该点的导数,即 f'(x0)。 所以,切线的方程可以表示为:y - f(x0) = f'(x0) ×...
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...
Let the equation of the tangent line be y= -x +b. Substituting this into the equation of the circle: 2x^2- 2bx+b^2-4=0 . Since the line is tangent to the circle, we have △=(-2b)^2-4*2(b^2-4)=0 Solving for b: b =±2 2. So the equation of the tangent line is ...
Answer to: Find an equation of the line tangent to the graph of f(x) = (3x - 2)(x + 3) at (1, 4). The equation of the line tangent to the graph is...
题目翻译：下面哪一个选项是代表图像y=x＋e^x 在x＝0处的切线方程？解答:先求导 y'=1+e^x ， 当x=0时，y'=1+1=2 所以在x＝0这一点处切线的斜率是2 然后根据点（0，1）和斜率2 可以得到这条切线的方程 y=2x+1 答案选择e 对吗？
What is the equation of the line tangent to the curve {eq}x^2 + y^2 = 100 {/eq} at the point (6,8)?Answer and Explanation:Consider a function {eq}y=f(x) {/eq} which is continuous and differentiable in the domain {eq}\left[ {a,b} \right]. {/...
If a function is given by f(x)=e^( x/7), which of the following is an equation of the line tangent to the graph of f(x) when f(x)=e? ( ) A. y-e= 17e(x-7) B. y-e=-7e(x-7) C. y-7=-7e(x-e) D. y-7= 17e(x-e)...
100分求一道数学题,Find an equation for the tangent line to the curve x^2y + xy^3 = 2 at the point (1; 1). 答案 题目意思是,求曲线 x^2y + xy^3 = 2在点(1,1)处的切线方程.对方程两边取全导,d(x^2y)+d(xy^3)=2,2xydx+x^2dy+y^3dx+3xy^2dy=0,整理得 dy/dx=-(2xy+y^...
Find the equation of the line tangent to {eq}f(x) = (5x - 6)e^{x - 3} {/eq} at x = 3. Tangent Line: Using the point-slope form {eq}(y-y_{1})=m(x-x_{1}) {/eq} we can write the equation of the tangent where m is the slope and the point x is already...
So, I can't wrap around my head of why the Equation of the Tangent Line is: y = f(a) + f'(a)(x - a) I get it that it's the equation of a line, and so it...