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 ...
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 ...
Find the equation of the tangent line and the normal line to the curve {eq}(x^2 + y^2)^2 = \frac{25}{3}(x^2 -y^2) {/eq} at the point (2,-1) Tangent Line and Normal Line to the Curve: The tangent line has its slope ...
Find the equation of the tangent line when {eq}x = 4 {/eq}. {eq}f\left( x \right) = 2{\left( {1 - x} \right)^3} {/eq} Equation of a Tangent Line: The following equation is the equation of a line tangent to {eq}g(x) {/eq} at {eq}x=c {/eq}: {e...
1. Find the equation of the tangent line to the graph of f(x)=\frac{2x-4}{x+1}, at the point at which x=0. 2. Find the equation of the tangent line to the graph of f(x)=x^4e^{-x}, at the point which x=0.
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 ...
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。
Find the equation of the tangent line to the curve {eq}x^3y^4 + y^2 +1 = x^2 {/eq} at the point (-1, 1). Tangent Line: The point-slope form is most commonly used for finding the equation of the tangent line to a curve at a given point. ...
Find the equation of the tangent line to the curve {eq}f(x) = - \frac{2}{\sqrt{x}} - \frac{2}{x^{2}} - 2x{/eq} at the point where {eq}x = 1{/eq} Equation of Tangent Line: Tangent line is a line which passes through the...
Answer to: Find the equation of the tangent line to f(x)=(8-x^2)(1+x+x^2) at x=-2. By signing up, you'll get thousands of step-by-step solutions to...