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1、课程（报告）成绩高等数学应用一、极限求解1.代码：symsxaa=limit((sqrt(1+tan(x))-sqrt(1+sin(x)))/(x*log(1+x)-x^2),x,0)2.)代码：symsxaa=limit(1/(sin(x))^2-(cos(x))^2/x^2,x,0)3.代码：symsxaa=limit((asin(x)-atan(x))-(sin(x)-tan(x)),x,0)1.代码：symsxaa=limit((x^2+2*x+5)*(sin(2*x)/(2^x+x^2+1)),x,in
2、f,'right')5.代码：symsxaa=limit((sqrt(4*x^2+x-1)+x+1)/(sqrt(x^2+sin(x))),x,inf,'left')一、复合函数求解1.f=lg,g=,求f(g(y))代码：symsxyhf=log10((2-x)/(2+x));g=y/2;h=compose(f,g)1.f=,g=,求f(g(y))代码：symsxyhf=exp(x)/(1+1/x)^x^2;g=2/y;h=compose(f,g)2.f=,g=sin,求f(g(y))代码：symsxyhf=e
3、xp(-1/x^2)/x^100;g=sin(y^2/2);h=compose(f,g)1.f=g=,求f(g(y))代码：symsxyhf=1/log(1+x^2)-1/(sin(x))^2;g=sqrt(tan(y));h=compose(f,g)5.f=,g=sin,求f(g(y))代码：symsxyhf=(tan(x)/x)^(1/x^2);g=sin(sqrt(y));h=compose(f,g)一、反函数求解1.f=代码：symsxf=(6*x-5)/(x-1);g=finverse(f)2.y=1+
4、ln(x+2)代码：symsxy=1+log(x+2);g=finverse(y)1.y=代码：symsxy=log2(x/(x-1));g=finverse(y)2.y=代码：symsxy=sqrt(x^2+1)+1;g=finverse(y)5.y=代码：symsxy=3^(x^2-1);g=finverse(y)一、导数求解1.y=代码：symsxy=x^5/(1-x)+x*(cos(x))^2;g=diff(y)1.y=代码：symsxy=(exp(x)+x*exp(x))/(exp(x)-1)-1/x;
5、g=diff(y)2.代码：symsxy=log(cos(x-1)/(1-sin(pi*x/2)));g=diff(y)4.代码：symsxy=(1-sqrt(cos(x)))/log(1-x*sin(x));g=diff(y)5.-代码：symsxy=sqrt(x^2-x+1)-sqrt(x^2+x+1);g=diff(y)一、参数方程求导1.,求y’,y”代码：symstx=log(1+t^2);y=atan(t);f1=diff(x,t);f2=diff(y,t);f=f2/f1f3=diff(f,t);f
6、4=f3/f1一、隐函数求导1.sin(xy)=ln,求y’代码：symsxy;f=sin(x*y)-log((x+exp(1))/y)-1;df_dx=diff(f,x);df_dy=diff(f,y);dy_dx=-df_dx/df_dy2.y=xlny,求y’代码：symsxy;f=x*log(y);df_dx=diff(f,x);df_dy=diff(f,y);dy_dx=-df_dx/df_dy3.siny+,求y’代码：symsxy;f=sin(y)+exp(x)-x*y+1;df_dx=diff(f
7、,x);df_dy=diff(f,y);dy_dx=-df_dx/df_dy4.x-y+,求y’代码：symsxy;f=x-y+sin(y)/2;df_dx=diff(f,x);df_dy=diff(f,y);dy_dx=-df_dx/df_dy5.,求y’代码：symsxy;f=exp(y)+x*y-exp(1);df_dx=diff(f,x);df_dy=diff(f,y);dy_dx=-df_dx/df_dy6.代码：symsxyz;a=jacobian(exp(z)-z+x*y,[x,y,z]);dz_d
8、x=-a(1)/a(3)dz_dy=-a(2)/a(3)7.xy+yz+zx=1，z=f(x,y),代码：symsxyz;a=jacobian(x*y+y*z+z*x,[x,y,z]);dz_dx=-a(1)/a(3)dz_dy=-a(2)/a(3)七.二元偏导数求解1.z=x,代码：symsxy;z=x*exp(x+y)+(x+1)/log(1+y);dz_dx=dif
