We have (2+sinx" dx")/(y+1" dx")=-cos x int("dy")/("y+1")=-int("cos x dx")/("2+sin x") log |y+1|=-log|2+sin x|+logC =log|(C)/("2+ sin x")| y+1=(C)/("2+ sin x") Now y+1(4)/("2+ sin x") "at x"=0,y=1, C=4 "at x"=(pi)/(2),"...
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3.D 解析:可以用特殊值法来排除.当x=0时, y=-sin0= 0,排除A,C选项;当 x=(3π)/2 , y=-sin(3π)/2=1 ,排除B选. 故选 D. 反馈 收藏
If y=x3+2x and dxdt=7, find dydt when x = 2. Differentiation of a Function: Let y=f(x), then differentiating both sides with respect to x, we get dydx=ddxf(x)=f′(x), then we say that differentiation is the process of findin...
【题目】下列各组函数能够成复合函数f()的是() A、 y=f(t)=ln(10) u=if(x)=sinx-1 C、 y=f(n)=1/(u-u^2) 与 u=in(x)=sin^3x+cos^2x-1 D、 y=f(u)=arccosu与u=(r)=3+r2 相关知识点: 试题来源: 解析 【解析】 ∵sinx-10 , ∴ln(sinx-1) 没有意义, ∴A ...
Answer to: If x=2\cos(z) and y=\sin(z), then find \frac{dy^{2}}{dx^{2}}. By signing up, you'll get thousands of step-by-step solutions to your...
If 3cosx + 2cos3x=cosy, 3sinx + 2sin3x =siny, then cos2x equals 03:25 If 3cos x+2cos3x=cos y3sin x+2sin3x=sin y, then the value of cos2x is 03:58 If 3cos x+2cos3x=cos y3sin x+2sin3x=sin y, then cos2x equals 02:14 If 2cos x+2cos3x=cos y and 2sin x+2...
根据如图所示的伪代码,已知输出值y为3,则输入值x为 . 答案 答案:-2考点:算法初步。解析:y=sinx不可能等于3,所以,y=x2-1=3,又x相关推荐 1根据如图所示的伪代码,已知输出值y为3,则输入值x为___. 2根据如图所示的伪代码,已知输出值y为3,则输入值x为___. 3根据如图所示的伪代码,已知输出值y为...
To find dydz given y=f(x3) and z=g(x2), where f′(x)=cosx and g′(x)=sinx, we will follow these steps: Step 1: Differentiate y with respect to xWe start with the function:y=f(x3)Using the chain rule, we differentiate y with respect to x:dydx=f′(x3)⋅ddx(x3)The deri...
当输入T x=-3时,右面的程序运行的结果是( )Input x If x 0 Then y cosx Else y=sinx End If Print y A. 12 B. 2 C. 12 D. 2 相关知识点: 试题来源: 解析 B【解析】 试题分析:根据程序可知,因为T x=- 30,所以输出应为T 3 sin(-=) 二一 3 2 考点:本小题主要考查条件结构的程序的执...