Calculus I: Lesson 6: Finding the Equation of a Tangent LineDr. Karen Brucks
In order to identify the equation of a tangent line to the function f(x) at a particular given point xo, we have to: Identify the derivative of the given function f′(x) Evaluate the derivative at the given point, f′(xo) Find the value of the function f(x)...
根据题意:The equation of the tangent line就是求此点的切线方程,先求过此点切线的斜率:求导得:y'=(1/3)(18 -2x)^(1/3-1)=(1/3)(18 -2x)^(-2/3)=1/[3³√(18 -2x)²]把x=5代入得:y'=1/[3³√(18 -10)²]=1/[3³√64]=1/[3·(4)]=1/12即切线斜率=1/12;y=...
The equation of a tangent line can be determined through various ways, and one of the key characteristics that we must consider is how a function is expressed. For one, when we are given an expression in polar coordinates, the slope of the...
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 the tangent line at x=2 for f(x)=√((4x+1)/(5x-1))100分题, 答案 定义域为D={x|x=1/5}导数f'(x) =-9/[2*(5x-1)²*√((4x+1)/(5x-1)) ]f'(2)=-1/18f(2)=1在点(2,1),函数的切线的斜率为-1/18,切线方程为 y-1=-1/18 *(x-2)整理,...
To solve the problem, we need to find the value of b for the ellipse given that the line tangent to the parabola y2=4x−20 at the point (6,2) is also a tangent to the ellipse defined by x22+y2b=1. 1. Identify the Equation of the Parabola: The given parabola is: y2=4x−...
What is an equation of the line tangent to the circle x⏫ + y⏫ = 32 at (4, 4)?A) y =
The equation of a tangent to the parabola, x^(2)=8y, which makes an angel theta with the positive direction of x-axis is
The equation of a tangent line to any curve i.e. a straight line that touches the curve at only one point can be found by following three steps: First, calculate the slope (m) of the line. Second, calculate the slope of the line at the point of ...