To determine the nature of the function f(x)=2(x)+cosx, where (x) denotes the greatest integer function, we will analyze its domain, range, and whether it is one-to-one (injective) and onto (surjective). Step 1: Determine the DomainThe function f(x)=2(x)+cosx is defined for ...
If f(x)=|(x^n, sinx, cosx),(n!, sin((npi)/2), cos((npi)/2)),(a, a^2,a^3))|, then show that d^n/dx^n [f(x)] at x=0 is 0
If f(x)=∣cosx∣, expand f(x) as a Fourier series in the interval (−π,π). solve question no 1 Show transcribed image text There are 2 steps to solve this one. Solution Share Step 1 Question is f(x)=∣cosx∣, expand f(x) as a Fourier series...
5.f'(x)=1/g'(x)=2/3*(x-1)^(-1/2)6.==|看不懂了 结果一 题目 1.if f(x)=x ln(x^2),then f ' (x)=?2.if f(x)=ln[x+4+e^(-3x)],then f ' (0) is?3.if f(x)=[e^(2x)]/2x,then f ' (x)=?4.if f=Arc tan(cosx),then dy/dx=?5.if g(...
1.lnx^2+2/x2..03.(1-2x)e^2x/(2x^2)4.sinx/(x^2+1)5.f'(x)=1/g'(x)=2/3*(x-1)^(-1/2)6.==|看不懂了 APP内打开 为你推荐 查看更多 lim(sinx-xcosx)/sin^3x 要拆开,必须两个极限都存在而这里第一个1/sin²x,分母趋于0所以分式趋于无穷所以极限不存在同理,第二个...
【题目】1.if f(x)=x ln(x^2), henf'(x)=?2.if f(x)=ln[x+4+e^x(-3x)] ,then f '(0) is?3.if f(x)=[e^x(2x)]/2x ,the nf'(x)=?4.if f=Arctan(cosx) t hendy/dx=?5.if g(x)=3x√((x-1)) and f(r) is the inverse function of g(z),then f...
Answer to: Find f'(x) if f(x) = \int_{2x}^{sx^2} sin(t^2+ 1)dt By signing up, you'll get thousands of step-by-step solutions to your homework...
解:(1)f(x)=2cos2x+2sinxcosx=1+cos2x+sin2x=1+√2sin(2x+π/4),则函数f(x)的最小正周期T=(2π)/2=π.(2)∵0≤x≤π/2,∴π/4≤2x+π/4≤(5π)/4,即-(√2)/2≤sin(2x+π/4)≤1,-1≤√2sin(2x+π/4)≤√2,即-1≤√2sin(2x+π/4)≤√2,0≤1+√2sin(2x+...
If F(x)=sin x cosx 0. show that F(x) F(y)= F(x + y)00 1 相关知识点: 试题来源: 解析 (2+x+1)/(2-x+1) ⇒2(x-1)+1 2-1 2(x-1)-(n+1) 2-1 ⇒(2x-2+1)/(x-1)*(x-1)/(2x-2-x-1) ⇒(2x-1)/(x-3) S0,x-1=0,x-30 x≠q1,x≠3 ...
若的图像与直线相切，并且切点横坐标依次成公差为的等差数列．(1)求和的值；(2)ABC中a、b、c分别是∠若的图像与直线相切，并且切点横坐标依次成公差为的等差数列．(1)求和的值；(2)ABC中a、b、c分别是∠A、∠B、∠C的对边．若是函数图象的一个对称中心，且a=4，求ABC面积的最大值．