c1ddb4c814 2021-03-01 jeff@gridfini: %%%%%%%%%%%%%%%%%%%%%
c1ddb4c814 2021-03-01 jeff@gridfini: % CALCULUS
c1ddb4c814 2021-03-01 jeff@gridfini: %%%%%%%%%%%%%%%%%%%%%
c1ddb4c814 2021-03-01 jeff@gridfini:
c1ddb4c814 2021-03-01 jeff@gridfini: % Specify blue for echoed input
c1ddb4c814 2021-03-01 jeff@gridfini: %color("Blue");
c1ddb4c814 2021-03-01 jeff@gridfini:
c1ddb4c814 2021-03-01 jeff@gridfini: % Turn on fancy output
c1ddb4c814 2021-03-01 jeff@gridfini: %fancy_output;
c1ddb4c814 2021-03-01 jeff@gridfini:
c1ddb4c814 2021-03-01 jeff@gridfini: % Turn input echo on
c1ddb4c814 2021-03-01 jeff@gridfini: %on echo;
c1ddb4c814 2021-03-01 jeff@gridfini:
c1ddb4c814 2021-03-01 jeff@gridfini: % Differentiation
c1ddb4c814 2021-03-01 jeff@gridfini: % df/dx
c1ddb4c814 2021-03-01 jeff@gridfini: df(x^x,x);
c1ddb4c814 2021-03-01 jeff@gridfini:
c1ddb4c814 2021-03-01 jeff@gridfini: % Multivariate Differentiation
c1ddb4c814 2021-03-01 jeff@gridfini: % df/((dx)(dy^2)(dz))
c1ddb4c814 2021-03-01 jeff@gridfini: df(x*exp(i*y)*log(z), x, 1, y, 2, z, 1);
c1ddb4c814 2021-03-01 jeff@gridfini:
c1ddb4c814 2021-03-01 jeff@gridfini: % Integration
c1ddb4c814 2021-03-01 jeff@gridfini: % indefinite integral with respect to x
c1ddb4c814 2021-03-01 jeff@gridfini: int(x^2 + x*sin(x), x);
c1ddb4c814 2021-03-01 jeff@gridfini:
c1ddb4c814 2021-03-01 jeff@gridfini: % SI(x)
c1ddb4c814 2021-03-01 jeff@gridfini: int(sin(x)/x,x);
c1ddb4c814 2021-03-01 jeff@gridfini:
c1ddb4c814 2021-03-01 jeff@gridfini: % Integral in interval [-oo, oo]
c1ddb4c814 2021-03-01 jeff@gridfini: int(exp(-x^2), x,-infinity,infinity);
c1ddb4c814 2021-03-01 jeff@gridfini:
c1ddb4c814 2021-03-01 jeff@gridfini: % Integral with logarithms
c1ddb4c814 2021-03-01 jeff@gridfini: int(log(log(x)),x);
c1ddb4c814 2021-03-01 jeff@gridfini:
c1ddb4c814 2021-03-01 jeff@gridfini: % Turn off echo
c1ddb4c814 2021-03-01 jeff@gridfini: %off echo;