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gradef

E(x2,x3,x4):=(x2)^2+(...

gradef(E(x2,x3,x4),g_...

g_1(1);

Calculate

gradef

f(x,y):=(1.5-(1-y))^2...

gradef(f(x,y));

Calculate

gradef

f: (2*x + y^2 -1/z);

gradef(f(x,y,z),x,y,z);

Calculate

gradef

f(x,y):=x*y;

gradef(f(x,y));

Calculate

gradef

f: (2*x + y^2 -1/z);

gradef(f(x,y,z),g_x);

Calculate

gradef

E(x2,x3,x4):=(x2)^2+(...

gradef(E(x2,x3,x4),g_...

g_1(1);

Calculate

gradef

gradef(f(y));

Calculate

gradef

f: (2*x + y^2 -1/z);

g : gradef(f(x,y,z),g...

g;

Calculate

gradef

E(x2,x3,x4):=(x2)^2+(...

gradef(E(x2,x3,x4),g_...

g_1(1);

Calculate

gradef

Run Example
(%i1)gradef(r(t),drdt);
(%o1)                                r(t)
(%i2) depends(r, t);
(%o2)                               [r(t)]
(%i3) v:diff(r, t);
                                      dr
(%o3)                                 --
                                      dt
(%i4) e:(a-r^3)^(1/3);
                                        3 1/3
(%o4)                             (a - r )
(%i5) w:diff(e, t);
                                       2 dr
                                      r  --
                                         dt
(%o5)                            - -----------
                                         3 2/3
                                   (a - r )
(%i6) f:w^2;
                                    4  dr 2
                                   r  (--)
                                       dt
(%o6)                             -----------
                                        3 4/3
                                  (a - r )
(%i7) plot2d(diff(f,t), [r, -10, 10]);
plotplot2d(diff(f,t), [r, -10, 10]);
Run Example
gradef(r(t),drdt);
(%o1)                                r(t)
(%i2) depends(r, t);
(%o2)                               [r(t)]
(%i3) v:diff(r, t);
                                      dr
(%o3)                                 --
                                      dt
(%i4) a:2*r^3;
                                        3
(%o4)                                2 r
(%i5) e:(a-r^3)^(1/3);
(%o5)                                  r
(%i6) w:diff(e, t);
                                      dr
(%o6)                                 --
                                      dt
(%i7) f:(1/2)*m*(v^2 + w^2) + 4*tau*pi*(r^2 + e^2);
                                   2          dr 2
(%o7)                        8 pi r  tau + m (--)
                                              dt
(%i8) diff(f,t);
                                                   2
                                  dr           dr d r
(%o8)                     16 pi r -- tau + 2 m -- ---
                                  dt           dt   2
                                                  dt
(%i9) 
Run Example
gradef(r(t),drdt);
(%o1)                                r(t)
(%i2) depends(r, t);
(%o2)                               [r(t)]
(%i3) v:diff(r, t);
                                      dr
(%o3)                                 --
                                      dt
(%i4) e:(a-r^3)^(1/3);
                                        3 1/3
(%o4)                             (a - r )
(%i5) w:diff(e, t);
                                       2 dr
                                      r  --
                                         dt
(%o5)                            - -----------
                                         3 2/3
                                   (a - r )
(%i6) f:w^2;
                                    4  dr 2
                                   r  (--)
                                       dt
(%o6)                             -----------
                                        3 4/3
                                  (a - r )
(%i7) plot2d(diff(f,t), [r, -100, 100]);
plotplot2d(diff(f,t), [r, -100, 100]);

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