1)
(%i1) | diff((log(1+x^4+y^4)/sqrt(x^2+y^2)),x,2); |
(%i2) | diff((log(1+x^4+y^4)/sqrt(x^2+y^2)),y,2); |
(%i3) | diff((log(1+x^4+y^4)/sqrt(x^2+y^2)),x,1,y,1); |
(%i4) | diff((log(1+x^4+y^4)/sqrt(x^2+y^2)),y,1,x,1); |
2)
(%i5) | define(y(x),sqrt(x)+sqrt(y)=1); |
(%i11) | diff(y(x), x); |
(%i13) | diff(y(x), x,2); |
3)
(%i20) | A:integrate(sqrt(%e^x-1),x); |
(%i22) | rat(diff(A,x)); |
(%i18) | expand(%); |
4)
(%i23) | 'integrate(1/sqrt(1-x^2),x,0,1)$ %=ev(%, nouns); |
5)
(%i25) | sum(1/k^4, k, 1, inf), simpsum; |
6)
(%i28) | limit(log(x)/%e^x,x,inf); |
7)
(%i29) | t:taylor(sin(x),x,0,5); |
(%i31) | define(f(x),t); |
(%i32) | wxplot2d([f(x),sin(x)], [x,-%pi,%pi])$ |