用Octave计算导数基本公式(4)
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\( ({\rm log}_a x)' = \frac{1}{x{\rm ln}a } \),特别地,有\( ({\rm ln}x)' = \frac{1}{x} \)
这里将\( {\rm log}_a x \)化为\( \frac{ {\rm ln} x}{ {\rm ln} a} \)。程序代码如下
function [text_result, numeric_result] = func21()
    pkg load symbolic;
    x = sym('x');
    a = sym('a');
    question = log(x) / log(a);
    lim = diff(question, x);
    text_result = ["\n", disp(lim)];
    numeric_result = eval(lim);
endfunction
计算结果如下
>> [text_result, numeric_result] = func21()
text_result =
       1
    ────────
    x⋅log(a)

numeric_result = (sym)

       1
    ────────
    x⋅log(a)
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