e.x=2andx=-2willproducey=4.•Thehorizontallinetestfails.•Inordertorestrictthedomain,abasicknowledgeoftheshapeofthegraphiscrucial.Thisisaparabolawith(0,0)asthevertex.Restrictthedomaintotheinterval[0,infinity)tomakeitone-to-one.Nowlet’slookatthetrigfunctions y y=sinx y y=cosx x x ...
y = |x| C. y = 2x D. y = sinx 相关知识点: 试题来源: 解析 C。本题主要考查函数存在反函数的条件。函数存在反函数的充要条件是函数必须是一一映射。选项 A,y = x²不是一一映射,例如当 y = 4 时,x = 2 或 x = -2,所以没有反函数。选项 B,y = |x|也不是一一映射,当 y = 2 ...
If g is the inverse function of fa n df^(prime)(x)=sinx ,t h e ng^(prime)(x) is cos e c{g(x)} (b) "sin"{g(x)} -1/("sin"{g(x)}) (d) none of these
Therefore, for xx in the interval [−π2,π2][−π2,π2], it is true that sin−1(sinx)=xsin−1(sinx)=x. However, for values of xx outside this interval, the equation does not hold, even though sin−1(sinx)sin−1(sinx) is defined for all real ...
We will learn how to prove the property of the inverse trigonometric function arcsin (x) + arcsin(y) = arcsin (x √1-y2 + yV 1 - x2) 相关知识点: 试题来源: 解析 let⋅sinx=a⋅sinx^(-1)x=a^(-1)x^(-1) y=β sin^2x=a From we get x=sina . and from sin-y= we get...
高等数学Mathematica实验题——绘制函数图形(y=1/1+x^2, y=e^(-x)sinx等) “在数学中,函数 f 的图形(或图象)指的是所有有序对(x, f(x))组成的集合。具体而言,如果x为实数,则函数图形在平面直角坐标系上呈现为一条曲线。如果函数自变量为两个实数组成的有序对(x, y),则图形就是空间上的点(x, y...
Evaluate: ("lim")(nvecpi/2)(sinx-(sinx)^(sinx))/(-sinx+(log)esinx) 04:31 If f(x) = (1)/(x^(2) - 17 x + 66), then f((2)/(x - 2)) is discontinuou... 08:25 if f(x) =x^(2) + (x^(2))/(1+x^(2)) + (x^(2))/((1+x^(2))^(2)) +……" upt....
Let f(x) = (lnx)^{sinx}. (a) Find f'(x). (b) Find f'(2). Let f and g be functions that satisfy f'(2)=-10 and g'(2)=-1. Find h'(2) for the following h functions: a. h(x)=12f(x)+13g(x)+8 b. h(x)=-5g(x)-11f(x)-12x...
Let’s take a moment to compare the derivatives of the hyperbolic functions with the derivatives of the standard trigonometric functions. There are a lot of similarities, but differences as well. For example, the derivatives of the sine functions match: (ddx)sinx=cosx(ddx)sinx=cosx ...
Given f(x) = (A cosx + B sinx - 5) / x^4 is continuous at x = 0. Find the value of A and B. Show all steps. Show that the set of functions \{ \sin x, \sin 3x, \sin 5x, \cdots \} is orthogonal on the interval [0, \pi/2 ] Show ...