5ce5316a33 2021-03-01 jeff@gridfini: %%%%%%%%%%%%%%%%%%%%%
5ce5316a33 2021-03-01 jeff@gridfini: % CALCULUS
5ce5316a33 2021-03-01 jeff@gridfini: %%%%%%%%%%%%%%%%%%%%%
5ce5316a33 2021-03-01 jeff@gridfini:
5ce5316a33 2021-03-01 jeff@gridfini: % Specify blue for echoed input
5ce5316a33 2021-03-01 jeff@gridfini: %color("Blue");
5ce5316a33 2021-03-01 jeff@gridfini:
5ce5316a33 2021-03-01 jeff@gridfini: % Turn on fancy output
5ce5316a33 2021-03-01 jeff@gridfini: %fancy_output;
5ce5316a33 2021-03-01 jeff@gridfini:
5ce5316a33 2021-03-01 jeff@gridfini: % Turn input echo on
5ce5316a33 2021-03-01 jeff@gridfini: %on echo;
5ce5316a33 2021-03-01 jeff@gridfini:
5ce5316a33 2021-03-01 jeff@gridfini: % Differentiation
5ce5316a33 2021-03-01 jeff@gridfini: % df/dx
5ce5316a33 2021-03-01 jeff@gridfini: df(x^x,x);
5ce5316a33 2021-03-01 jeff@gridfini:
5ce5316a33 2021-03-01 jeff@gridfini: % Multivariate Differentiation
5ce5316a33 2021-03-01 jeff@gridfini: % df/((dx)(dy^2)(dz))
5ce5316a33 2021-03-01 jeff@gridfini: df(x*exp(i*y)*log(z), x, 1, y, 2, z, 1);
5ce5316a33 2021-03-01 jeff@gridfini:
5ce5316a33 2021-03-01 jeff@gridfini: % Integration
5ce5316a33 2021-03-01 jeff@gridfini: % indefinite integral with respect to x
5ce5316a33 2021-03-01 jeff@gridfini: int(x^2 + x*sin(x), x);
5ce5316a33 2021-03-01 jeff@gridfini:
5ce5316a33 2021-03-01 jeff@gridfini: % SI(x)
5ce5316a33 2021-03-01 jeff@gridfini: int(sin(x)/x,x);
5ce5316a33 2021-03-01 jeff@gridfini:
5ce5316a33 2021-03-01 jeff@gridfini: % Integral in interval [-oo, oo]
5ce5316a33 2021-03-01 jeff@gridfini: int(exp(-x^2), x,-infinity,infinity);
5ce5316a33 2021-03-01 jeff@gridfini:
5ce5316a33 2021-03-01 jeff@gridfini: % Integral with logarithms
5ce5316a33 2021-03-01 jeff@gridfini: int(log(log(x)),x);
5ce5316a33 2021-03-01 jeff@gridfini:
5ce5316a33 2021-03-01 jeff@gridfini: % Turn off echo
5ce5316a33 2021-03-01 jeff@gridfini: %off echo;