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example

example(derivate);

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example-hessian

example(hessian);

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example

example (equations);

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example

example(range);

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example-expand

example(expand);

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example-scsimp

example(scsimp);

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example-inf-limit

f:(x-1)^3/((x-2)*x^2);

example(limit);

limit(f,x,-inf);

Calculate

example

example(example);

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example-taylor

example(taylor);

Calculate

example

Run Example
(%i1)load(draw);
(%o1)            /usr/share/maxima/5.21.1/share/draw/draw.lisp
(%i2) f:(x-1)^3/((x-2)*x^2);
                                          3
                                   (x - 1)
(%o2)                             ----------
                                           2
                                  (x - 2) x
(%i3) factor(diff(f,x));
                                              2
                               (x - 4) (x - 1)
(%o3)                          ----------------
                                        2  3
                                 (x - 2)  x
(%i4) factor(diff(f,x,2));
                                    3      2
                        2 (x - 1) (x  - 8 x  + 16 x - 12)
(%o4)                 - ---------------------------------
                                          3  4
                                   (x - 2)  x
(%i5) subst(3,x,f);
                                       8
(%o5)                                  -
                                       9
(%i6) taylor(f,x,1,10);
                  3          4            5            6            7
(%o6)/T/ - (x - 1)  + (x - 1)  - 2 (x - 1)  + 2 (x - 1)  - 3 (x - 1)
                                           8            9            10
                                + 3 (x - 1)  - 4 (x - 1)  + 4 (x - 1)   + . . .
(%i7) integrate (f,x,3,4);
                  15 log(3) - 34   10 log(4) - 2 log(2) - 31
(%o7)             -------------- - -------------------------
                        12                     8
(%i8) integrate (f,x);
                         5 log(x)   log(x - 2)        1
(%o8)                  - -------- + ---------- + x - ---
                            4           4            2 x
(%i9) example(draw2d);
example: draw2d not found. 'example();' returns the list of known examples.
(%o9)                                done
(%i10) draw2d(explicit(f,x,3,4));
plotdraw2d(explicit(f,x,3,4));plot2d (f,[x,3,4]);
plotplot2d (f,[x,3,4]);
Run Example
example(limit);

(%i1) 
(%i2) limit(x*log(x),x,0,plus)
(%o2)                                  0
(%i1) 
(%i3) limit((x+1)^(1/x),x,0)
(%o3)                                 %e
(%i1) 
(%i4) limit(%e^x/x,x,inf)
(%o4)                                 inf
(%i1) 
(%i5) limit(sin(1/x),x,0)
(%o5)                                 ind
(%o5)                                done
(%i6) limit(x^2+1,x,2);
(%o6)                                  5
(%i7) 
Run Example
example(limit);

(%i1) 
(%i2) limit(x*log(x),x,0,plus)
(%o2)                                  0
(%i1) 
(%i3) limit((x+1)^(1/x),x,0)
(%o3)                                 %e
(%i1) 
(%i4) limit(%e^x/x,x,inf)
(%o4)                                 inf
(%i1) 
(%i5) limit(sin(1/x),x,0)
(%o5)                                 ind
(%o5)                                done
(%i6) limit(x^2+1,x,2);
(%o6)                                  5
(%i7) limit((x^2-9)/(x-3),x,3);
(%o7)                                  6
(%i8) 

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