【正文】
i+]))/。gx=g(x)。plot(x,dpx,x,dx,39。.39。,x,gx,39。39。)unit8實(shí)驗(yàn)指導(dǎo)1syms x y。s=x^4y^4。factor(s)factor(5135)2syms x。f=(x2)/(x^24)。limit(f,x,2)sym x。f=(sqrt(pi)sqrt(acos(x)))/sqrt(x+1)。limit(f,x,1,39。right39。)3sym x。f=sin(1/x)。diff(f,39。x39。)diff(f,39。x39。,2)sym x。f=(1cos(2*x))/x。diff(f,39。x39。)diff(f,39。x39。,2)4sym x。f=sqrt(exp(x)+1)。int(f,39。x39。)syms x y。f=x/(x+y)。int(f,39。y39。)sym x。f=exp(x)*(1+exp(x))^2。int(f,39。x39。,0,log(2))sym x。f=x*log(x)。int(f,39。x39。,1,exp(1))5sym x。s=symsum((1)^(x+1)/x,1,Inf)sym y。z=symsum(y^(2*y1)/(2*y1),1,Inf)6sym x。f1=(exp(x)+exp(x))/2。f2=sqrt(x^32*x+1)。taylor(f1,x,5,0)taylor(f2,x,6,0)7syms x y a。x=solve(39。x^3+a*x+1=039。,39。x39。)x=solve(39。sin(x)+2*cos(x)sqrt(x)=039。,39。x39。)[x y]=solve(39。log(x/y)=939。,39。exp(x+y)=339。,39。x39。,39。y39。)8syms n。[x,y]=dsolve(39。x*(D2y)+(1n)*(Dy)+y=039。,39。y(0)=039。,39。Dy(0)=039。,39。x39。)思考練習(xí)2syms x B1 B2 a bs1=2*((cos(x))^2)(sin(x))^2。s2=sin(B1)*cos(B2)cos(B1)*sin(B2)。s3=sqrt((a+sqrt(a^2b))/2)+sqrt((asqrt(a^2b))/2)。s4=(4*x^2+8*x+3)/(2*x+1)。h1=simplify(s1)h2=simplify(s2)h3=simplify(s3)h4=simplify(s4)3syms x a。f=abs(x)/x。limit(f,x,0,39。left39。)f=(x+a/x)^x。limit(f,x,inf)4syms x y mf=sqrt(x+sqrt(x+sqrt(x)))。m=diff(f,39。x39。)diff(m,39。x39。)syms x y。f=x+ysqrt(x^2+y^2)。z1=diff(f,x)z2=diff(f,y)5syms x y。f=x+ysqrt(x^2+y^2)。z1=diff(f,x)z2=diff(f,y)sym x。f=1/(asin(x)^2*(1x^2)^(1/2))。int(f)6syms xf=1/(1+x)。int(f,0,4)sym x。f=x^3*sin(x)^2/(x^6+2*x^4+1)。int(f,1,1)sym x。f=x^3*sin(x)^2/(x^6+2*x^4+1)。int(f,1,1)7syms ns=symsum(1/4^n,1,inf)sym n。s=symsum(((n+1)/n)^(1/2),1,inf)eval(y)8syms x f=tan(x)。taylor(f,x,3,0)syms x f=sin(x)^2。taylor(f,x,5,0)9syms x x=solve(39。log(1+x)5/(1+sin(x))=239。,39。x39。)syms x y z[x y z]=solve(39。4*x^2/(4*x^2+1)=y39。,39。4*y^2/(4*y^2+1)=z39。,39。4*z^2/(4*z^2+1)=x39。,39。x39。,39。y39。,39。z39。)10[x ,y]=dsolve(39。Dx=3*x+4*y39。,39。Dy=5*x7*y39。,39。x(0)=039。,39。y(0)=139。,39。t39。