no.2maple导数积分微分方程作图和求根

1、符号运算系统MAPLE的使用(三）四、函数的求导五、方程求根三、函数作图三、函数作图一元函数作图、参数方程作图、隐函数作图、二维动画 plot.mws #-implicit plotimplicitplot(x2-4*x*y+8*y2-15=0, x=-8.8,y=-8.8);implicitplot(x2-4*x*y+8*y2-15=0, x=-8.8,y=-8.8,numpoints=5000, color=green); implicitplot(x2-y2=4,x=-8.8,y=-8.8,numpoints=5000,color=blue);隐函数作图 #-animating the

2、picture movinganimate(sin(x+t),x=-10.10,t=1.4);animate(x,sin(x)*t,x=-10.10, t=1.4);animate(sin(x+t),cos(x-t), x=-10.10,t=1.6);二维动画极坐标系下的图形plot(2*(1-cos(theta), theta=-2*Pi.2*Pi,coords=polar); with(plots):polarplot(2*(1-cos(theta), theta=-2*Pi.2*Pi);012345677692106.5123.2131.7150.7179204三维图形 ?plot3dp

3、lot3d(x2-y2,x=-2.2, y=-sqrt(4-x2).sqrt(4-x2);plot3d(6-2*x2-y2,2*sqrt(x2+y2),x=-2.2,y=-sqrt(4-x2).sqrt(4-x2);三维参数方程的图形 #-3d parameter plotplot3d(2*sin(s)*cos(t),3*sin(s)*sin(t),4*cos(s),s=0.Pi,t=0.2*Pi);plot3d(3+cos(u)*cos(v),(3+cos(u)*sin(v),sin(u),u=0.2*Pi,v=0.2*Pi);三维动画 with(plots): animate3d(cos(

4、t*x)*sin(t*y), x=-Pi.Pi,y=-Pi.Pi,t=1.2);练习四、函数的求导derivative.mws f:=(x+a)*sin(x+b); Diff(f,x); diff(f,x);diff(f,b);diff(f,x$2); restart:f:=sin(2*g(x)*exp(g(x); Diff(f,x); diff(f,x); diff(f,x$2); diff(ln(1+x),x$n);抽象函数求导五、方程求根roots.mws eqn1:=x3+x-1=0; solve(eqn1); plot(x3+x-1,x); fsolve(eqn1,x=0.1); f1:=x2-y2=1;g1:=y=x*exp(x); with(plots):implicitplot(f1,g1,x=-5.5,y=-5.5); fsolve(f1,g1);方程组求根 solve(x-1)*(x2-8) solve(2*x2-1abs(x+1),x); min