f(x)=sin(x) sin(x) Plot(sin(x)) f(0) 0 f(1) 0.841470984807897 f(\pi) 0 f'(x) cos(x) f''(x) -sin(x) f'''(x) -cos(x) D(f(x)) cos(x) g(x,y)=x^2+x*y+y^2 x^2+y^2+x*y g(2,3) 19 D(g(x,y),x) 2x+y D(g(x,y),y) x+2y Diff(f(x),x) cos(x) D(f(x),x,3) -cos(x) f(x) sin(x) scroll(a,-3,3,.01) Plot([f(x),f(a)+f'(a)*(x-a)],x=[-3,3],y=[-3,3]) Plot([f(x),f'(x),f''(x)],x=[-3,3],y=[-3,3]) ParametricPlot([sin(7u), sin(8u)], u=[0, 2\pi,400], numbers=3, color=navyBlue) Multiplot(plot(sin(x)),ParametricPlot([cos(t),sin(t)],t=[0,2\pi,200])) ImplicitPlot(cos(x)+sin(y)=1, x=[-8, 8], y=[-8, 8]) ImplicitPlot(cos(x)+sin(y)=cos(T), x=[-8, 8], y=[-8, 8]) Plot(sin(x+T)) ListPlot([1,2,3,4,5],[-2.1,-1.3,.7,2.2,4.1],regression=linear) ListPlot([1,2,3,4,5],[-2.1,-1.3,.7,2.2,4.1],regression=quadratic) PolyFit([[1, 3], [5, 7]]) x+2 h(x)=PolyFit([[1, 3], [5, 7],[2,3]]) (x^2)/3+-x+11/3 h(1) 2.999999999999999 h(5) 6.999999999999998 h(2) 2.999999999999999 ListPlot([1,5,2],[3,7,3]) Table(sin(x),[x,0,1,.1],y) Integrate(sin(x),x) -cos(x) Integrate(x^2*sin(x),x) -1x^2*cos(x)+2x*sin(x)+2cos(x) Integrate(exp(x)*cos(3*x),x) (cos(3x)*exp(x))/10+(3sin(3x)*exp(x))/10 Integrate(x^2+2x*y,x) (x^3)/3+x^2*y Integrate(x^2+2x*y,y) x^2*y+x*y^2 Integrate(sin(x),x,0,\pi) 2 Integrate(x^10*exp(2x),x) (-14175x*exp(2x))/4+(-4725x^3*exp(2x))/2+(-945x^5*exp(2x))/2+-45x^7*exp(2x)+(-5x^9*exp(2x))/2+(x^10*exp(2x))/2+(45x^8*exp(2x))/4+(315x^6*exp(2x))/2+(4725x^4*exp(2x))/4+(14175exp(2x))/8+(14175x^2*exp(2x))/4 g(x,y)=x^2+x*y+2*y^2 x^2+2y^2+x*y D(g(x,y),x) 2x+y D(g(x,y),y) x+4y -D(g(x,y),x)/D(g(x,y),y) (-2x+-y)/(x+4y) dy(x,y)=iDiff(g(x,y),y,x) (-2x+-y)/(x+4y) ImplicitPlot(g(x,y)=g(1,1),x=[-4,4],y=[-4,4]) dy(1,1) -3/5 MultiPlot(ImplicitPlot(g(x,y)=g(1,1),x=[-4,4],y=[-4,4]),Plot(1+dy(1,1)*(x-1))) Plot(1+dy(1,1)*(x-1)) ImplicitPlot(g(x,y)=g(1,1),x=[-4,4],y=[-4,4]) ImplicitPlot(g(x,y)=g(1,1),x=[-4,4],y=[-4,4],style=Lines)