微分應用

數c IV 13 回 (3-4 微分應用) 109.4.21

3.2

f(x):=-x^2+6*x-8; has max or min?

g:diff(f(x));

solve(g);

4. f(x):=3*x-x^3; has max , min=?

g:diff(f(x));

solve(g);

f(1);

f(-1);

calculate

1. f(x)=3+4*x-x^2, 圖形, 遞增 遞減的區域

f(x):=3+4*x-x^2;

g:diff(f(x));

solve(g);

2. x+y=30, solve (xy)max=?

x,x-30

f(x):=x(x-30);

g:diff(f(x));

solve(g);

3.f(x)=2x^3+ax^2+bx+25 ,x=-3,x=2 has 

related extreme value, solve a,b=?

f(x):=2*x^3+a*x^2+b*x+25;

g:diff(f(x),x);

4. f(x)=5x^2+4x+1,x=a has fmin=b, solve 

a,b=?