y=(cosx)三次方, ,求Y的N次求导。..追50分,谢谢!

发布网友 发布时间：2022-04-29 17:58

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热心网友 时间：2023-10-27 06:21

y'=3(cosx)^2*(-sinx)

(sinx)(n)=sin(x+(n*Pi)/2)
(cosx)(n)=cos(x+(n*Pi)/2)

y(n)=(3/4)*coc(x+n*Pi/2)+(3/4)^n*cos(3x+n*Pi/2)

y(n)表示函数f(x)的n阶导数

热心网友 时间：2023-10-27 06:21

y'=3(cosx)^2*(-sinx)

(sinx)(n)=sin(x+(n*Pi)/2)
(cosx)(n)=cos(x+(n*Pi)/2)

y(n)=(3/4)*coc(x+n*Pi/2)+(3/4)^n*cos(3x+n*Pi/2)

y(n)表示函数f(x)的n阶导数

热心网友 时间：2023-10-27 06:21

y'=3(cosx)^2*(-sinx)

(sinx)(n)=sin(x+(n*Pi)/2)
(cosx)(n)=cos(x+(n*Pi)/2)

y(n)=(3/4)*coc(x+n*Pi/2)+(3/4)^n*cos(3x+n*Pi/2)

y(n)表示函数f(x)的n阶导数

热心网友 时间：2023-10-27 06:21

y(n)=(3/4)*coc(x+n*Pi/2)+(3/4)^n*cos(3x+n*Pi/2)

热心网友 时间：2023-10-27 06:21

y(n)=(3/4)*coc(x+n*Pi/2)+(3/4)^n*cos(3x+n*Pi/2)

热心网友 时间：2023-10-27 06:22

cos3x = 4(cosx)^3 - 3cosx
y = (cosx)^3 = 1/4 * (cos3x) + 3/4 * cosx

(cosx)' = -sinx = cos(x+Pi/2)
(cosx)'' = - cosx = cos(x+2*Pi/2)
(cosx)n次导 = cos(x + n * Pi/2)

y(n次导) = 3/4 * cos(x + n*Pi/2) + 1/4 * 3^n * cos(3x + n*Pi/2)

热心网友 时间：2023-11-18 07:18

y'=3(cosx)^2*(-sinx)

(sinx)(n)=sin(x+(n*Pi)/2)
(cosx)(n)=cos(x+(n*Pi)/2)

y(n)=(3/4)*coc(x+n*Pi/2)+(3/4)^n*cos(3x+n*Pi/2)

y(n)表示函数f(x)的n阶导数

热心网友 时间：2023-10-27 06:22

cos3x = 4(cosx)^3 - 3cosx
y = (cosx)^3 = 1/4 * (cos3x) + 3/4 * cosx

(cosx)' = -sinx = cos(x+Pi/2)
(cosx)'' = - cosx = cos(x+2*Pi/2)
(cosx)n次导 = cos(x + n * Pi/2)

y(n次导) = 3/4 * cos(x + n*Pi/2) + 1/4 * 3^n * cos(3x + n*Pi/2)

热心网友 时间：2023-11-18 07:19

y(n)=(3/4)*coc(x+n*Pi/2)+(3/4)^n*cos(3x+n*Pi/2)

热心网友 时间：2023-10-27 06:21

y(n)=(3/4)*coc(x+n*Pi/2)+(3/4)^n*cos(3x+n*Pi/2)

热心网友 时间：2023-10-27 06:22

cos3x = 4(cosx)^3 - 3cosx
y = (cosx)^3 = 1/4 * (cos3x) + 3/4 * cosx

(cosx)' = -sinx = cos(x+Pi/2)
(cosx)'' = - cosx = cos(x+2*Pi/2)
(cosx)n次导 = cos(x + n * Pi/2)

y(n次导) = 3/4 * cos(x + n*Pi/2) + 1/4 * 3^n * cos(3x + n*Pi/2)

热心网友 时间：2023-10-27 06:21

y'=3(cosx)^2*(-sinx)

(sinx)(n)=sin(x+(n*Pi)/2)
(cosx)(n)=cos(x+(n*Pi)/2)

y(n)=(3/4)*coc(x+n*Pi/2)+(3/4)^n*cos(3x+n*Pi/2)

y(n)表示函数f(x)的n阶导数

热心网友 时间：2023-10-27 06:21

y(n)=(3/4)*coc(x+n*Pi/2)+(3/4)^n*cos(3x+n*Pi/2)

热心网友 时间：2023-10-27 06:22

cos3x = 4(cosx)^3 - 3cosx
y = (cosx)^3 = 1/4 * (cos3x) + 3/4 * cosx

(cosx)' = -sinx = cos(x+Pi/2)
(cosx)'' = - cosx = cos(x+2*Pi/2)
(cosx)n次导 = cos(x + n * Pi/2)

y(n次导) = 3/4 * cos(x + n*Pi/2) + 1/4 * 3^n * cos(3x + n*Pi/2)

热心网友 时间：2023-10-27 06:21

y'=3(cosx)^2*(-sinx)

(sinx)(n)=sin(x+(n*Pi)/2)
(cosx)(n)=cos(x+(n*Pi)/2)

y(n)=(3/4)*coc(x+n*Pi/2)+(3/4)^n*cos(3x+n*Pi/2)

y(n)表示函数f(x)的n阶导数

热心网友 时间：2023-10-27 06:21

y(n)=(3/4)*coc(x+n*Pi/2)+(3/4)^n*cos(3x+n*Pi/2)

热心网友 时间：2023-11-18 07:19

cos3x = 4(cosx)^3 - 3cosx
y = (cosx)^3 = 1/4 * (cos3x) + 3/4 * cosx

(cosx)' = -sinx = cos(x+Pi/2)
(cosx)'' = - cosx = cos(x+2*Pi/2)
(cosx)n次导 = cos(x + n * Pi/2)

y(n次导) = 3/4 * cos(x + n*Pi/2) + 1/4 * 3^n * cos(3x + n*Pi/2)

热心网友 时间：2023-10-27 06:22

cos3x = 4(cosx)^3 - 3cosx
y = (cosx)^3 = 1/4 * (cos3x) + 3/4 * cosx

(cosx)' = -sinx = cos(x+Pi/2)
(cosx)'' = - cosx = cos(x+2*Pi/2)
(cosx)n次导 = cos(x + n * Pi/2)

y(n次导) = 3/4 * cos(x + n*Pi/2) + 1/4 * 3^n * cos(3x + n*Pi/2)

热心网友 时间：2023-10-27 06:21

y'=3(cosx)^2*(-sinx)

(sinx)(n)=sin(x+(n*Pi)/2)
(cosx)(n)=cos(x+(n*Pi)/2)

y(n)=(3/4)*coc(x+n*Pi/2)+(3/4)^n*cos(3x+n*Pi/2)

y(n)表示函数f(x)的n阶导数

热心网友 时间：2023-10-27 06:21

y(n)=(3/4)*coc(x+n*Pi/2)+(3/4)^n*cos(3x+n*Pi/2)