【题目】A curve has equation y=(x-π)sin2x . Show thatthe equation of the tangent to the curve at thepont with xcoordinate is x+y=π. 相关知识点: 试题来源: 解析 【解析】(dy)/(dx)=sin2x+2(x-π)cos2xAt_x=(3π)/4,y=π/(4)and(dy)/(dx)=-1 Simlify y-=-1x--) to ...
6 A curve has equation y=x^5-2x^2+9 . The point P with coordinates (-1, 6) lies on the curve.(a) Find the equation of the tangent to the curve at the point P. giving your answer in the form y = mx+ c.(b) The point Q with coordinates (2, k) lies on the curve.(i)...
The normal to the curve at P dx meets the curve again at Q. Find (i) the equation of the curve, [3] (ii) the equation of the normal to the curve at P, [3] (iii) the coordinates of Q. [3] 1 A curve has equation y = k . Given that the gradient of the curve is ?3 ...
[4] 3 A curve has equation y = cos x cos 2x . Find the x-coordinate of the stationary point on the curve in the interval 0 x 1, giving your answer correct to 3 significant figures. [6] 2 4 (i) Express 3 sin + 2 cos in the form R sin + , where R 0 and 0 90,...
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Show that the equation of the tangent to the curve at the point with x-coordinate is x+y=π . 答案 At , and Simplify to obtain x+y=π 相关推荐 1A curve has equation . Show that the equation of the tangent to the curve at the point with x-coordinate is x+y=π . ...
【题目】 A curve has equation xy = 20 and a line has equation x +2y= k, where k is a constant.In the case where k = 14, the line intersects the curve at the points A and B.Find:the coordinates of the points A and B
O/N/20 [Turn over PMT 4 4 Find the solution of the differential equation dy x x + 2y = e dx for which y = 3 when x = 1. Give your answer in the form y = f (x ) . [8] © UCLES 2020 9231/22/O/N/20 PMT 5 5 The curve C has equation y 2 + (xy + 1)2 = 5...
Suppose a curve is defined by the equation {eq}\frac{y}{y-x}=x^2-1 {/eq}. Find {eq}\frac{dx}{dy} {/eq}. Implicit Differentiation: Implicit differentiation allows us to take the derivative of a function in which {eq}y {/eq} is not isolated. To take this ty...
例4:The Curve C has the equation : cos2x+cos3y=1, -π/4 ≤ x ≤π/4, 0 ≤ y ≤π/6, find dy/dx in terms of x and y. 总结一下,我们在看到这种一个等式里有两个变量x和y的时候,就可以考虑这个方法了,当然出题人往往不只考察我们这两个公式的运用,同学们还是需要对微分的公式记熟,考...