/* [wxMaxima batch file version 1] [ DO NOT EDIT BY HAND! ]*/
/* [ Created with wxMaxima version 17.10.1 ] */
/* [wxMaxima: title   start ]
Uvodni priklady
   [wxMaxima: title   end   ] */


/* [wxMaxima: comment start ]
Cisla prikladu koresponduji s diplomovou praci
   [wxMaxima: comment end   ] */


/* [wxMaxima: comment start ]
Priklad 2.1.
   [wxMaxima: comment end   ] */


/* [wxMaxima: input   start ] */
diff(x^2/2,x);
/* [wxMaxima: input   end   ] */


/* [wxMaxima: input   start ] */
diff(log(x),x);
/* [wxMaxima: input   end   ] */


/* [wxMaxima: input   start ] */
diff(a^x/log(a),x);
/* [wxMaxima: input   end   ] */


/* [wxMaxima: input   start ] */
diff(%e^x,x);
/* [wxMaxima: input   end   ] */


/* [wxMaxima: input   start ] */
diff(exp(x),x);
/* [wxMaxima: input   end   ] */


/* [wxMaxima: input   start ] */
diff(atan(x),x);
/* [wxMaxima: input   end   ] */


/* [wxMaxima: input   start ] */
diff((1/a)*atan(x/a),x);
/* [wxMaxima: input   end   ] */


/* [wxMaxima: input   start ] */
diff(asin(x),x);
/* [wxMaxima: input   end   ] */


/* [wxMaxima: input   start ] */
diff(asin(x/a),x);
/* [wxMaxima: input   end   ] */


/* [wxMaxima: input   start ] */
'diff(x^2/2,x)=diff(x^2/2,x);
/* [wxMaxima: input   end   ] */


/* [wxMaxima: input   start ] */
'diff(x^2/2,x)$ %=ev(%,nouns);
/* [wxMaxima: input   end   ] */


/* [wxMaxima: input   start ] */
Der(func):=diff(func,x);
/* [wxMaxima: input   end   ] */


/* [wxMaxima: input   start ] */
Der(x^2/2);
/* [wxMaxima: input   end   ] */


/* [wxMaxima: comment start ]
Zakladni integracni vzorce
   [wxMaxima: comment end   ] */


/* [wxMaxima: input   start ] */
integrate(k,x);
/* [wxMaxima: input   end   ] */


/* [wxMaxima: input   start ] */
integrate(sin(x),x);
/* [wxMaxima: input   end   ] */


/* [wxMaxima: input   start ] */
'integrate(1/x,x)$ %=ev(%,nouns);
/* [wxMaxima: input   end   ] */


/* [wxMaxima: input   start ] */
Int(func):=integrate(func,x);
/* [wxMaxima: input   end   ] */


/* [wxMaxima: input   start ] */
Int(1/(x^2+1));
/* [wxMaxima: input   end   ] */


/* [wxMaxima: input   start ] */
plot2d([x^2,integrate(x^2,x)],[x,-5,5],[y,-5,5]);
/* [wxMaxima: input   end   ] */



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