maxima10

1. priklad

(%i31)

kill(all);

Result

(%i1)

'diff(log(1+x^4+y^4)/sqrt(x^2+y^2),x,1,y,1)$ %=ev(%,nouns);

Result

(%i3)

'diff(log(1+x^4+y^4)/sqrt(x^2+y^2),x,2)$ %=ev(%,nouns);

Result

(%i5)

'diff(log(1+x^4+y^4)/sqrt(x^2+y^2),y,2)$ %=ev(%,nouns);

Result

2. priklad

(%i9)

kill(all);

Result

(%i1)

eq:sqrt(x)+sqrt(y)=1;

Result

(%i2)

depends(y,x);

Result

(%i3)

diff(eq, x);

Result

(%i4)

prvnipodley:solve(%, 'diff(y,x));

Result

(%i8)

prvnipodley:rhs(prvnipodley[1]);

Result

(%i5)

diff(eq, x, 2);

Result

(%i6)

solve(%, 'diff(y,x,2));

Result

(%i7)

rat(subst(prvnipodley, 'diff(y,x,1), %));

Result

3. priklad

(%i9)

kill(all);

Result

(%i1)

'integrate(sqrt(%e^x-1),x)$ %=ev(%,nouns);

Result

(%i3)

diff(rhs(%),x);

Result

(%i4)

expand(rat(%));

Result

4. priklad

(%i16)

'integrate(1/(sqrt(1-x^2)), x,0,1); %=ev(%, nouns);

Result

5. priklad

(%i18)

'sum(1/k^4, k,1,inf)$ %=ev(%, nouns, simpsum);

Result

6. priklad

(%i20)

'limit(log(x)/%e^x,x,inf)$ %=ev(%, nouns);

Result

7. priklad

(%i5)

p1:taylor(sin(x),x,0,1);

Result

(%i6)

p2:taylor(sin(x),x,0,3);

Result

(%i8)

p3:taylor(sin(x),x,0,5);

Result

(%i9)

load(draw);

Result

(%i10)

wxdraw2d(explicit(sin,x,-%pi, %pi), explicit(p1,x,-%pi, %pi), explicit(p2,x,-%pi, %pi), explicit(p3, x,-%pi, %pi), proportional_axes=xy);

Result

Created with wxMaxima.