### Related

f(x,y) := e^(-y*sin(x));

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

g_1(1);

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f(x,y) := e^(-y*sin(x));

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u: [v, 2*v];

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

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

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

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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]);
plot```
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]);
plot```