Question

用matlab做这道简单题，急急急急急急

Answer 1

syms x y;
y = cos(x)^2;
dy = diff(y);
inty = int(y);
figure;hold on;
h1=ezplot(y,[-pi,pi]);set(h1,'color','r')
h2=ezplot(dy,[-pi,pi]);set(h2,'color','b');
h3=ezplot(inty,[-pi,pi]);set(h3,'color','g');
title('y=cos(x)^2 and dy/dx, integral y');
legend('y=cos(x)^2','dy/dx','int(y)');

Answer 2

 syms x y;y=cos(x)^2;z=diff(y,x),w=int(y,x),

 

z =

 

-2*cos(x)*sin(x)

 

 

w =

 

x/2 + sin(2*x)/4

>> x=[-pi:0.01*pi:pi];y=cos(x).^2;z =-2*cos(x).*sin(x);w=x/2 + sin(2*x)/4;plot(x,y,'b -.',x,z,'g -',x,w,'k *')