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 ...
Equation of Tangent Line: Slope of a curve: Let {eq}y = f(x) {/eq} be a curve and {eq}(x_1, y_1) {/eq} a point on the curve. The slope of a tangent line to the curve at the point {eq}(x_1, y_1) {/eq}
结果1 题目 Find the equation of the tangent line and the equation of the normal line drawn to the curve x^( 2/3)+y^( 2/3)=5 at the point (8,1). 相关知识点: 试题来源: 解析 y-1=-12(x-8)y-1=2(x-8) 反馈 收藏 ...
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...
EXAMPLE 7 Find the equation of the tangent line to the graph of y = tan x at the point (w/4, 1). 相关知识点: 试题来源: 解析 SOLUTION The derivative of y=tanxsin(dy)/(dx)=sec^2x . When x = #/4, the derivative is equal t sec^(2π)=(2/(√2))^2=2 = 2. Thus the ...
1一个点最多可以有几条切线?Find the equation of the tangent line to curve (X^2/16)-(y^2/9)=1at point (-5,9/4)..我不会翻译.回答标题的问题或者直接解答这个问题.(x^2)/16 + (Y^2)/9 = 1蝈蝈墨水鱼,我没让你求X和Y啊。是求切线的方程式拉。而且。不是问圆啦。都怪我没讲清楚。
结果1 题目 A curve is defined by x(t)=t^2-5t+2 and y(t)= 1((t+2)^2) for 0≤q t≤q 3. Find the equation of the tangent line to the curve when t=1. 相关知识点: 试题来源: 解析 y- 19= 2(81)(x+2) or y= 2(81)x+ (13)(81). 反馈 收藏 ...
Equation of the Tangent Line to a Curve: The tangent line is a line which touches the curve at a particular point on the curve. The equation of the tangent line is written as: {eq}y-y_{1}=m (x-x_{1}) {/eq} Where {eq}(x_{1},y_{1}) {/eq} is the poi...
Find the equation of the tangent line of the graph of the function f(x)=3x2−x−1 at the point x=2. Finding a Tangent Line Equation: Tangent lines exist for every point of a function with one independent variable, where it is defined and differenti...
3.Find the equation of the normal to the curve y=3x2-2x-1 which is parallel to the line y=x-3 答案1:找到平行于X轴的曲线切线方程Y = X^ 22:找到的垂直于线路2Y= X- 1的切线方程曲线Y = X ^ 2- 2X3:找到平行于线Y = X - 3的正常曲线方程Y =3X^ 2-...