1.

(%i1) diff((log(1+x^4+y^4)/sqrt(x^2+y^2)),x,2);

Result

(%i2) diff((log(1+x^4+y^4)/sqrt(x^2+y^2)),y,2);

Result

(%i3) diff((log(1+x^4+y^4)/sqrt(x^2+y^2)),x,1,y,1);

Result

(%i4) diff((log(1+x^4+y^4)/sqrt(x^2+y^2)),y,1,x,1);

Result

2.

(%i5) define(y(x),sqrt(x)+sqrt(y)=1);

Result

(%i6) diff(y(x), x); diff(y(x), x,2);

Result

3.

(%i8) integral:integrate(sqrt(%e^x-1),x);

Result

(%i9) factor(diff(integral,x));

Result

4.

(%i10) 'integrate(1/sqrt(1-x^2),x,0,1)$ %=ev(%, nouns);

Result

5.

(%i12) sum(1/k^4, k, 1, inf), simpsum;

Result

6.

(%i13) limit(log(x)/%e^x,x,inf);

Result

7.

(%i14) T:taylor(sin(x),x,0,5); define(f(x),T);

Result

(%i16) wxplot2d([f(x),sin(x)], [x,-%pi,%pi])$

Result


Created with wxMaxima.