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 equations of the tangent lines to the curve y = (x - 1)/(x + 1) that are parallel to the line x - 2y = 2. Find the equation(s) to the tangent lines to the curve y = (x - 1)/(x + 1) that are parallel to the line x - 2y =...
Write down the equations of tangent lines to the curve of the implicit function {eq}x^2 + 2x + 2y^2 - 4y = 5 {/eq} that are normal to the line {eq}y = x + 12 {/eq}. Tangent to the curve: In this que...
Find an equation for the tangent line to the curve x^2y + xy^3 = 2 at the point (1; 1). 扫码下载作业帮搜索答疑一搜即得 答案解析 查看更多优质解析 解答一 举报 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...
To get a line tangent to a curve, there are two things needed -- a point and slope, which is substituted to the equation: {eq}y- y_0 = m(x-x_0) {/eq} Here: {eq}(x_0,\,y_0) {/eq} is the point where the line is tangent to the curve, and ...
Find the equation of the tangent line to the curvex=1−cosθ,y=θ−sinθatθ=π/4. View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium NCERT Solutions for Class 11 English Medium ...
求导y'=6(sinx+xcosx)在π/2处y'=6 切线方程y-3π=6(x-π/2)即y=6x
The point-slope form is most commonly used for finding the equation of the tangent line to a curve at a given point. Suppose that we have the slope of tangent line to {eq}g(x) {/eq} at {eq}x=c {/eq} as {eq}g'(c) {/eq}. By the point-slo...
Determine the quadratic curve y=f(x) if it touches the line y=x at the... 05:35 Find all the tangents to the curve y=cos(x+y),-2pilt=xlt=2pi that are ... 06:07 Find the equation of the normal to the curve y=(1+x)^y+sin^(-1)(sin^2x... 06:51 Find the equation...
结果1 题目Use implicit differentiation to find an equation of thetangent line to the curve atthe given point.2(x^2+y^2)^2=25(x^2-y^2) (3,1)(lemniscate)y0 相关知识点: 试题来源: 解析 y=-9/(13)x+(40)/(13) 反馈 收藏