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xthru

eq1: (e1+e2+2*(e3+e4)...

xthru(eq1);

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(1-(x2+dx2)^2-(x1+dx1...

xthru(%);

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xthru

a: 1/(c-d)-c/(c^2-d^2...

xthru(a);

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((x+2)^20 - 2*y)/(x+y...

xthru (((x+2)^20 - 2...

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xthru

eq1:x*4+y-2=y;

xthru(eq1);

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xthru

xthru((1-x1^2-x1*dx1-...

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xthru

xthru(3/(x+y)^2 - 4/(...

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xthru

a: 1/(c-d)-c/(c^2-d^2...

xthru(a);

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xthru

xthru(3/(x+y)^2 - 4/(...

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xthru

eq1:x*4+y-2=y;

xthru(eq1);

Calculate

xthru

Run Example
(%i1)f(x):= 4*x+18*x/(1+x)+30-6*x;
                                    18 x
(%o1)                 f(x) := 4 x + ----- + 30 + (- 6) x
                                    1 + x
(%i2) xthru(f(x));
                           (30 - 2 x) (x + 1) + 18 x
(%o2)                      -------------------------
                                     x + 1
(%i3) diff(f(x),x);
                              18       18 x
(%o3)                        ----- - -------- - 2
                             x + 1          2
                                     (x + 1)
(%i4) solve(diff(f(x),x),x);
(%o4)                          [x = - 4, x = 2]
(%i5) xthru(diff(f(x),x));
                                  2
                       - 2 (x + 1)  + 18 (x + 1) - 18 x
(%o5)                  --------------------------------
                                          2
                                   (x + 1)
(%i6) plot2d(f(x),[x,0,5]);
plotplot2d(f(x),[x,0,5]);
Run Example
a: 1/(c-d)-c/(c^2-d^2)+1/(2*c+2*d);
                              c          1         1
(%o1)                    - ------- + --------- + -----
                            2    2   2 d + 2 c   c - d
                           c  - d
(%i2) xthru(a);
                              2    2
                  (d + 3 c) (c  - d ) - c (c - d) (2 d + 2 c)
(%o2)             -------------------------------------------
                                               2    2
                         (c - d) (2 d + 2 c) (c  - d )
(%i3) b:ratsimp(a);
                                        1
(%o3)                             - ---------
                                    2 d - 2 c
(%i4) fullratsimp(a);
                                        1
(%o4)                             - ---------
                                    2 d - 2 c
(%i5) outative(2*c+2*d);
(%o5)                         outative(2 d + 2 c)
(%i6) 
Run Example
a: 1/(c-d)-c/(c^2-d^2)+1/(2*c+2*d);
                              c          1         1
(%o1)                    - ------- + --------- + -----
                            2    2   2 d + 2 c   c - d
                           c  - d
(%i2) xthru(a);
                              2    2
                  (d + 3 c) (c  - d ) - c (c - d) (2 d + 2 c)
(%o2)             -------------------------------------------
                                               2    2
                         (c - d) (2 d + 2 c) (c  - d )
(%i3) b:ratsimp(a);
                                        1
(%o3)                             - ---------
                                    2 d - 2 c
(%i4) ev(2*(c+d));
(%o4)                              2 (d + c)
(%i5) fullratsimp(2*c+2*d);
(%o5)                              2 d + 2 c
(%i6) p: x/(x^2-y^2)-y/(x^2+2*x*y+y^2);
                              x             y
(%o6)                      ------- - ---------------
                            2    2    2            2
                           x  - y    y  + 2 x y + x
(%i7) q:ratsimp(p);
                                      2    2
                                     y  + x
(%o7)                       - ---------------------
                               3      2    2      3
                              y  + x y  - x  y - x
(%i8) 

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