第一道the curve with equation y^2=x^3+3x^2 is called the Tschirnhausen cubic.,find an equation of the tangent line to this curve at point (1,-2).还有个微分的题SinX+CosY = sinXcosY

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/29 11:01:55
第一道the curve with equation y^2=x^3+3x^2 is called the Tschirnhausen cubic.,find an equation of the tangent line to this curve at point (1,-2).还有个微分的题SinX+CosY = sinXcosY

第一道the curve with equation y^2=x^3+3x^2 is called the Tschirnhausen cubic.,find an equation of the tangent line to this curve at point (1,-2).还有个微分的题SinX+CosY = sinXcosY
第一道the curve with equation y^2=x^3+3x^2 is called the Tschirnhausen cubic.,find an equation of the tangent line to this curve at point (1,-2).
还有个微分的题
SinX+CosY = sinXcosY

第一道the curve with equation y^2=x^3+3x^2 is called the Tschirnhausen cubic.,find an equation of the tangent line to this curve at point (1,-2).还有个微分的题SinX+CosY = sinXcosY
先求导
隐函数求导
两边对x求导
2y*y'=3x^2+6x
y'=(3x^2+6x)/(2y)
所以代入x=1,y=-2
y'=(3+6)/(2*(-2))=-9/4
所以切线方程为
(y+2)=(-9/4)(x-1)
y=(-9/4)x+1/4
第二题
SinX+CosY = sinXcosY
两边对x求导,右边积法则
cosx-siny*y'=(sinx)'cosy+sinx(cosy)'
cosx-siny*y'=cosxcosy+sinx(-siny)*y'
(sinxsiny-siny)y'=cosx+cosxcosy
y'=[cosx(1+cosy)]/[siny(sinx-1)]

中文是“曲线y^2=x^3+3x^2在(1,-2)点的切线方程”吗?

曲线难题 TROUBLE WITH THE CURVE怎么样 第一道the curve with equation y^2=x^3+3x^2 is called the Tschirnhausen cubic.,find an equation of the tangent line to this curve at point (1,-2).还有个微分的题SinX+CosY = sinXcosY the learning curve THE CURVE怎么样 The Approaching Curve 歌词 falling behind the curve 一道曲线方程的题,麻烦帮解答下,The curve with equation y2 = x3 +3x2 is called the Tschirnhausen cubic.Find an equation of the tangent line to this curve at the point (1,−2).tschirnhausen cubic我不知道是什麽意思,就是要 一道曲线方程的题,麻烦帮解答下,The curve with equation y2 = x3 +3x2 is called the Tschirnhausen cubic.Find an equation of the tangent line to this curve at the point (1,−2).tschirnhausen cubic我不知道是什麽意思,就是要 微积分.A curve is such that dy/dx = 16/x^3,and (1,4)is a point on the curve.(i) Find the equation of the curve.(ii)A line with gradient -1/2 is a normal to the curve.Find the equation of this curve,giving your answer in the form ax+by=c(iii)Find t Way to wreck the curve. AHEAD OF THE CURVE怎么样 Find the turning point of the 这是一道英文数学题,其中一问是Find the turning point of the curve ,我看不懂要求什么数学量,还有find the point(s) of inflexion of the curve 一道有关pka和ph的英语化学题A weak acid is titrated with a strong base and during the titration the pH is plotted.On studying the titration pH vs volume added curve it is found that one third of the way to the equivalence point the pH was 一道AP微观经济问题There is relatively more crowding out as the result of expansionary fiscal policy when(a) expansionary monetary policy accompanies the fiscal policy (b)the investment demand curve is inelastic(c)the investment demand curve i 59.7% contained the 2000 Centers for Disease Control and Prevention growth curve with BMI for age.谁可以帮忙翻一下?感激不尽.尤其是growth curve with BMI for age是什么意思? Find the equation of the locus of the mid-point of the chord ofthe curve x²+4y²=1 with gradient 1. 《The Bell Curve弧线排序》是什么 ahead of the curve什么意思