给定数据表如下 x 0 1 2 f (x) 1 2 2 f’(x) 0 1 0 编写matlab程序求其Hermite插值多项式，并画出插值函数图像

以下是求解Hermite插值多项式的MATLAB程序：

% 输入数据
x = [0 1 2];
f = [1 2 2];
f_prime = [0 1 0];

% 计算差商
n = length(x);
df = zeros(n,n);
df(:,1) = f';
for j = 2:n
    for i = j:n
        df(i,j) = (df(i,j-1) - df(i-1,j-1)) / (x(i) - x(i-j+1));
    end
end

% 计算Hermite插值多项式
syms t;
p = f(1);
for i = 2:n
    term = 1;
    for j = 1:i-1
        term = term * (t - x(j));
    end
    p = p + df(i,i) * term;
    for j = 1:i-1
        term = term / (x(i) - x(j));
        p = p + df(i,j) * term * (t - x(j));
    end
end

% 画出插值函数图像
ezplot(p, [0,2]);
title('Hermite插值多项式');
xlabel('x');
ylabel('f(x)');

运行后，即可得到Hermite插值多项式的图像。