运用matlab对如下函数求关于t的导数已知x1=360*t;x3=arctan(200+100sin(x1));s3=100cos(x1)/cos(x3);求x3和s3对t的导数,并求导函数图像
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![运用matlab对如下函数求关于t的导数已知x1=360*t;x3=arctan(200+100sin(x1));s3=100cos(x1)/cos(x3);求x3和s3对t的导数,并求导函数图像](/uploads/image/z/2745417-57-7.jpg?t=%E8%BF%90%E7%94%A8matlab%E5%AF%B9%E5%A6%82%E4%B8%8B%E5%87%BD%E6%95%B0%E6%B1%82%E5%85%B3%E4%BA%8Et%E7%9A%84%E5%AF%BC%E6%95%B0%E5%B7%B2%E7%9F%A5x1%3D360%2At%EF%BC%9Bx3%3Darctan%28200%2B100sin%28x1%29%29%3Bs3%3D100cos%28x1%29%2Fcos%28x3%29%3B%E6%B1%82x3%E5%92%8Cs3%E5%AF%B9t%E7%9A%84%E5%AF%BC%E6%95%B0%2C%E5%B9%B6%E6%B1%82%E5%AF%BC%E5%87%BD%E6%95%B0%E5%9B%BE%E5%83%8F)
运用matlab对如下函数求关于t的导数已知x1=360*t;x3=arctan(200+100sin(x1));s3=100cos(x1)/cos(x3);求x3和s3对t的导数,并求导函数图像
运用matlab对如下函数求关于t的导数
已知x1=360*t;x3=arctan(200+100sin(x1));s3=100cos(x1)/cos(x3);
求x3和s3对t的导数,并求导函数图像
运用matlab对如下函数求关于t的导数已知x1=360*t;x3=arctan(200+100sin(x1));s3=100cos(x1)/cos(x3);求x3和s3对t的导数,并求导函数图像
syms x1 x3 s3 t
x1=360*t;x3=atan(200+100*sin(x1));s3=100*cos(x1)/cos(x3);dx3=diff(x3,'t'),ds3=diff(s3,'t')
结果:
dx3 =
36000*cos(360*t)/(1+(200+100*sin(360*t))^2)
ds3 =
-36000*sin(360*t)*(1+(200+100*sin(360*t))^2)^(1/2)+3600000*cos(360*t)^2/(1+(200+100*sin(360*t))^2)^(1/2)*(200+100*sin(360*t))
画出图形
ezplot(dx3,'t') 见附件
ezplot(ds3,'t')
求导是有函数的哟~diff(),画图就可以直接用plot()
想了解更多可以command窗口输入doc diff
syms t
t=-pi:0.01:pi;
x1=360*t;
x3=arctan(200+100*sin(x1));
s3=100*cos(x1)/cos(x3);
yx=diff(x3)
ys=diff(s3)
plot(yx,t)
plot(ys,t)