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plot2d-sin-solve
plot2d(sin(x),[x,0,8]);

a:x+y^2=y;

solve(a,y);

plot2d(sin(x),[x,0,8]);

Calculate

plot2d
plot2d([f(x)],[x,-4,1],[x,-5,1]);

f(x) := -x^2-2*x-3;

plot2d([f(x)],[x,-4,1...

Calculate

plot2d
plot2d(x^4, [x,-5,5]);

plot2d(x^4, [x,-5,5]);

Calculate

plot2d
plot2d(1/(2*x+2/x)^2,[x,0.5,5]);

plot2d(1/(2*x+2/x)^2,...

Calculate

plot2d
plot2d([exp^(x)],[x,-10,10]);

plot2d([exp^(x)],[x,-...

Calculate

plot2d
plot2d([1/x^2],[x,0,5],[y,0,50]);

plot2d([1/x^2],[x,0,5...

Calculate

plot2d
plot2d (%e^x-5*%e^(x-1), [x, 0, 5]);

plot2d (%e^x-5*%e^(x-...

Calculate

plot2d
plot2d( [discrete, [1,2,3,4,5,6,7,8,9,10,15,20,25,30], [10,19,28,45,68,75,79,87,89,95,100,100,100,100]], [ style, linespoints ] );

plot2d( [discrete, [1...

Calculate

plot2d-solve
plot2d([x^2-1, -x^2+1],[x,-3,3]);

plot2d([x^2-1, -x^2+1...

solve (x^2-1=-x^2+1);

Calculate

plot2d-subst
plot2d([subst([k=3],(2*x+2)*(2*x+1)/(4*(2*x+2-k)*(2*x+1-k))),subst([k=3],(x+1)^2/k^2),1/4],[x,3/2,10]);

plot2d([subst([k=3],(...

Calculate

plot2d

Run Example
(%i1)kill(all);
(%o0)                                done
(%i1) Ik:16;
(%o1)                                 16
(%i2) U0:92;
(%o2)                                 92
(%i3) a:I/Ik=1-(U/U0)^2;
                                            2
                                 I         U
(%o3)                            -- = 1 - ----
                                 16       8464
(%i4) l:solve(a,U);
(%o4)            [U = - 23 sqrt(16 - I), U = 23 sqrt(16 - I)]
(%i5) m:solve(a,I);
                                       2
                                      U  - 8464
(%o5)                          [I = - ---------]
                                         529
(%i6) define(I(U),rhs(m[1]));
                                         2
                                        U  - 8464
(%o6)                         I(U) := - ---------
                                           529
(%i7) define(U(I),rhs(l[2]));
(%o7)                       U(I) := 23 sqrt(16 - I)
(%i8) P(I,U):=I*U;
(%o8)                           P(I, U) := I U
(%i9) plot2d(I(U),[U,0,92], [xlabel, "U[V]"], [ylabel, "I[A]"]);
plotplot2d(I(U),[U,0,92], [xlabel, "U[V]"], [ylabel, "I[A]"]);plot2d(U(I),[I,0,16], [ylabel, "U[V]"], [xlabel, "I[A]"]);
plotplot2d(U(I),[I,0,16], [ylabel, "U[V]"], [xlabel, "I[A]"]);plot2d([P(I(U),U)],[U,0,92], [xlabel, "U[V]"], [ylabel, "P[W]"]);
plotplot2d([P(I(U),U)],[U,0,92], [xlabel, "U[V]"], [ylabel, "P[W]"]);plot2d([P(I,U(I))],[I,0,16], [xlabel, "I[A]"], [ylabel, "P[W]"], [grid, 10, 10]);
plotplot2d([P(I,U(I))],[I,0,16], [xlabel, "I[A]"], [ylabel, "P[W]"], [grid, 10, 10]);define(Iabgeleitet(U),diff(P(I(U),U),U));
                                            2    2
                                         2 U    U  - 8464
(%o13)               Iabgeleitet(U) := - ---- - ---------
                                         529       529
(%i14) define(Uabgeleitet(I),diff(P(U(I),I),I));
                                                       23 I
(%o14)        Uabgeleitet(I) := 23 sqrt(16 - I) - --------------
                                                  2 sqrt(16 - I)
(%i15) Umax:solve(Iabgeleitet(U),U);
                                  92           92
(%o15)                   [U = - -------, U = -------]
                                sqrt(3)      sqrt(3)
(%i16) Imax:solve(Uabgeleitet(I),I);
                                        32
(%o16)                             [I = --]
                                        3
(%i17) P[max]=float(Imax[1]*Umax[2]);
(%o17)                 P    = (I U = 566.5730641647529)
                        max
(%i18) R[L]=float(Umax[2]/Imax[1]);
                               U
(%o18)                   R  = (- = 4.979646071760522)
                          L    I
(%i19) 
Run Example
plot2d(sin(x)+1, [x,0,6],[y,-2,2]);
plotplot2d(sin(x)+1, [x,0,6],[y,-2,2]);
Run Example
plot2d ([cos(x),cos(x)^2,/*sin(x)^2,*/cos(x)-cos(x)^2], [x,0,2*%pi]);
plotplot2d ([cos(x),cos(x)^2,/*sin(x)^2,*/cos(x)-cos(x)^2], [x,0,2*%pi]);i:A*sin(2500*t);
(%o2)                            sin(2500 t) A
(%i3) v:diff(i,t)*L;
(%o3)                        2500 cos(2500 t) A L
(%i4) integrate(v,t);
(%o4)                           sin(2500 t) A L
(%i5) 

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