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define-diff-plot2d
plot2d( [f(x), fp(x)], [x, -5,5], [y,-5,5]);

define(f(x), (x^3-5*x...

define(fp(x), diff(f(...

fp(0);

Calculate

define-diff-plot2d
plot2d( [f(x)], [x, -100, 100], [y, -100, 100]);

h: 5.2981 ;

f(x) := (-6*5.2981+8*...

define(d(x), diff(f(x...

Calculate

define-diff-plot2d
plot2d([f(x), g(x)], [x,-5,5]);

define(f(x), 2^x);

define(g(x),diff(f(x)...

plot2d([f(x), g(x)], ...

Calculate

define-diff-plot2d-sqrt
plot2d(t(y),[y,2,sqrt(45)]);

define(t(y), y/2 + (6...

define(tp(y), diff(t(...

plot2d(t(y),[y,2,sqrt...

Calculate

define-diff-plot2d
plot2d(fp(x), [x,-5,5], [y, -10,10]);

define(f(x), (x^3 + x...

define (fp(x), diff(f...

fp(1.5);

Calculate

define-diff-plot2d
plot2d( [f(x), fp(x)], [x, -5,5], [y,-5,5]);

define(f(x), (X^3+5*x...

define(fp(x), diff(f(...

fp(0);

Calculate

define-diff-plot2d
plot2d(fp(x), [x,-5,5], [y, -10,10]);

define(f(x), (x^3 + x...

define (fp(x), diff(f...

fp(1.5);

Calculate

define-diff-plot2d
plot2d( [f(x)], [x, -100, 100], [y, -500, 500]);

h: 5.2981 ;

f(x) := (-6*5.2981+8*...

define(d(x), diff(f(x...

Calculate

define-diff-plot2d-sqrt
plot2d(tp(y),[y, 3, sqrt(45)]);

define(t(y), (6-sqrt(...

define(tp(y), diff(t(...

plot2d(tp(y),[y, 3, s...

Calculate

define-diff-plot2d
 plot2d(f(x), [x, -2, 5],[y, -30, 40]);

define(f(x), x^3 - 5*...

plot2d(f(x), [x, -2,...

diff(f(x),x);

Calculate

[define,diff,plot2d]

Run Example
(%i1)h: 5.2981 ;
(%o1)                               5.2981
(%i2) f(x) := (-6*5.2981+8*x-3*5.2981^2*x+4*5.2981*x^2)/(2*5.2981^3-2*5.2981*x-5.2981^2*x+x^2);
                                                   2               2
                  (- 6) 5.2981 + 8 x + (- 3) 5.2981  x + 4 5.2981 x
(%o2)     f(x) := --------------------------------------------------
                             3                         2       2
                     2 5.2981  - 2 5.2981 x + (- 5.2981 ) x + x
(%i3) define(d(x), diff(f(x), x));
                     42.3848 x - 76.20959083
(%o3) d(x) := -------------------------------------
               2
              x  - 38.66606361 x + 297.433888784282
                                                   2
                     (2 x - 38.66606361) (21.1924 x  - 76.20959083 x - 31.7886)
                   - ----------------------------------------------------------
                                2                                    2
                              (x  - 38.66606361 x + 297.433888784282)
(%i4) define (dd(x), diff(d(x), x));
                              42.3848
(%o4) dd(x) := -------------------------------------
                2
               x  - 38.66606361 x + 297.433888784282
   2 (2 x - 38.66606361) (42.3848 x - 76.20959083)
 - -----------------------------------------------
        2                                    2
      (x  - 38.66606361 x + 297.433888784282)
               2
   2 (21.1924 x  - 76.20959083 x - 31.7886)
 - ----------------------------------------
     2                                    2
   (x  - 38.66606361 x + 297.433888784282)
                        2           2
   2 (2 x - 38.66606361)  (21.1924 x  - 76.20959083 x - 31.7886)
 + -------------------------------------------------------------
               2                                    3
             (x  - 38.66606361 x + 297.433888784282)
(%i5) plot2d( [f(x)], [x, -5, 10], [y, -10, 10]);
plotplot2d( [f(x)], [x, -5, 10], [y, -10, 10]);
Run Example
define(f(x),x^5-5*x^4+4*x^3);
                                    5      4      3
(%o1)                      f(x) := x  - 5 x  + 4 x
(%i2) define(fp(x),diff(f(x),x));
                                     4       3       2
(%o2)                    fp(x) := 5 x  - 20 x  + 12 x
(%i3) define(fpp(x),diff(f(x),x,2));
                                      3       2
(%o3)                   fpp(x) := 20 x  - 60 x  + 24 x
(%i4) plot2d([f(x),fp(x)],[x,-20,20]);
plotplot2d([f(x),fp(x)],[x,-20,20]);fpp(0);
(%o5)                                  0
(%i6) 
Run Example
define(f(x), 2^x);
                                           x
(%o1)                             f(x) := 2
(%i2) define(g(x),diff(f(x),x));
                                               x
(%o2)                          g(x) := log(2) 2
(%i3) plot2d([f(x), g(x)], [x,-5,5]);
plotplot2d([f(x), g(x)], [x,-5,5]);
[abs,define,diff,expand,find_root,float,plot2d,realroots] [abs,define,diff,expand,find_root,float,realroots] [abs,define,diff,find_root,float,pi,plot2d] [abs,define,diff,find_root,float,realroots] [abs,define,diff,float,pi,plot2d] [abs,define,diff,float,pi] [abs,define,diff] [abs,define,find_root,plot2d] [abs,define,plot2d,realroots] [abs,define,plot2d] [addcol,addrow,diff,ev,genmatrix,invert,kill,length,lmax,lmin,load,matrix,plot2d,romberg,sqrt,submatrix] [assoc_legendre_q,diff,legendre_q,load,plot2d,realpart] [assoc_legendre_q,diff,legendre_q,plot2d,realpart] [assume,diff,ev,integrate,plot2d,sin] [assume,diff,ev,integrate,plot2d] [assume,diff,integrate,plot2d] [atan,diff,plot2d,solve] [bc2,diff,numer,ode2,plot2d,rhs,solve,subst] [cos,define,diff,expand,find_root,float,log,plot2d] [cos,define,diff,expand,float,log,plot2d] [cos,define,diff,expand,float,log] [cos,define,diff,find_root,float,log,plot2d] [cos,define,diff,find_root,float,plot2d,sqrt] [cos,define,diff,find_root,float,sqrt] [cos,define,diff,find_root,plot2d,sin] [cos,define,diff,float,log] [cos,define,diff,float,plot2d,sqrt] [cos,define,diff,float,sqrt] [cos,define,diff,plot2d,sqrt] [cos,define,diff,sin] [cos,define,plot2d,sin] [cos,diff,ev,find_root,plot2d] [cos,diff,float,ic2,ode2,plot2d,rhs,sqrt] [cos,diff,plot2d,sin,sqrt] [cos,diff,plot2d,sin] [cos,diff,plot2d] [define,diff,expand,find_root,float,plot2d,realroots] [define,diff,expand,float,plot2d,realroots] [define,diff,expand,float,plot2d,sin] [define,diff,expand,float,sin] [define,diff,expand,plot2d] [define,diff,expand] [define,diff,find_root,float,log,sin] [define,diff,find_root,float,plot2d,sqrt] [define,diff,find_root,plot2d,sin] [define,diff,find_root,plot2d,sqrt] [define,diff,float,plot2d,realroots] [define,diff,plot2d,sin] [define,diff,plot2d,sqrt] [define,diff,plot2d]

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