Hi,

From http://localhost:8888/kernelspecs/sagemath/doc/prep/Calculus.html:

%auto
f(x)=x^3+1
@interact
def _(c=(1/3,(-1,1))):
    P=plot(f,(x,-1,1))
    fprime=derivative(f,x)
    L(x)=fprime(c)*(x-c)+f(c)
    Q=plot(L,(x,-1,1),color="red", linestyle="--")
    show(P+Q+point((c,f(c)), pointsize=40, color='red'),ymin=0,ymax=2)

There was an error:

UsageError: Line magic function `%auto` not found.

`lsmagic` gives this:

π™°πšŸπšŠπš’πš•πšŠπš‹πš•πšŽ πš•πš’πš—πšŽ πš–πšŠπšπš’πšŒπšœ:
%πšŠπš•πš’πšŠπšœ  %πšŠπš•πš’πšŠπšœβŽ―πš–πšŠπšπš’πšŒ  %πšŠπšπšπšŠπšŒπš‘  %πšŠπšžπšπš˜πšŠπš πšŠπš’πš 
 %πšŠπšžπšπš˜πšŒπšŠπš•πš•  %πšŠπšžπšπš˜πš–πšŠπšπš’πšŒ  %𝚊𝚞𝚝𝚘𝚜𝚊𝚟𝚎  %πšŠπš‘πš’πš˜πš– 
 %πš‹πš˜πš˜πš”πš–πšŠπš›πš”  %𝚌𝚊𝚝  %𝚌𝚍  %πšŒπš•πšŽπšŠπš›  %πšŒπš˜πš•πš˜πš›πšœ  %πšŒπš˜πš—πšπšŠ 
 %πšŒπš˜πš—πšπš’πš  %πšŒπš˜πš—πš—πšŽπšŒπšβŽ―πš’πš—πšπš˜  %πšŒπš™  %πšŒπš›πšžπš—  %πšπšŽπš‹πšžπš 
 %πšπš‘πš’πšœπš  %πšπš’πš›πšœ  %πšπš’πšœπš™πš•πšŠπš’  %πšπš˜πšŒπšπšŽπšœπšβŽ―πš–πš˜πšπšŽ  %𝚎𝚍 
 %πšŽπšπš’πš  %πšŽπš—πšŸ  %πšπš›πš’πšŒπšŠπšœ  %πšπšŠπš™  %πšπšŠπš™πŸΉ  %πšπš’πšŠπšŒ  %πšπš™ 
 %πšπšžπš’  %πš‘πš’πšœπš  %πš‘πš’πšœπšπš˜πš›πš’  %πš’πš•πš˜πšŠπš  %πš”πšŠπšœπš‘ 
 %πš”πš’πš•πš•πš‹πšπšœπšŒπš›πš’πš™πšπšœ  %πš•πšπš’πš›  %πš•πšŽπšœπšœ  %πš•πš  %πš•πš’πšŽ 
 %πš•πš’πšœπš™  %πš•πš”  %πš•πš•  %πš•πš˜πšŠπš  %πš•πš˜πšŠπšβŽ―πšŽπš‘πš  %πš•πš˜πšŠπšπš™πš’ 
 %πš•πš˜πšπš˜πšπš  %πš•πš˜πšπš˜πš—  %πš•πš˜πšπšœπšπšŠπš›πš  %πš•πš˜πšπšœπšπšŠπšπšŽ 
 %πš•πš˜πšπšœπšπš˜πš™  %πš•πšœ  %πš•πšœπš–πšŠπšπš’πšŒ  %πš•πš‘  %πš–πšŠπšŒπšŠπšžπš•πšŠπš’πŸΈ 
 %πš–πšŠπšŒπš›πš˜  %πš–πšŠπšπš’πšŒ  %πš–πšŠπšπš–πšŠ  %πš–πšŠπš—  %πš–πšŠπš™πš•πšŽ 
 %πš–πšŠπšπš‘πšŽπš–πšŠπšπš’πšŒπšŠ  %πš–πšŠπšπš‘πš’πšŒπšœ  %πš–πšŠπšπš•πšŠπš‹ 
 %πš–πšŠπšπš™πš•πš˜πšπš•πš’πš‹  %πš–πšŠπš‘πš’πš–πšŠ  %πš–πš”πšπš’πš›  %πš–πš˜πš›πšŽ  %πš–πšžπš™πšŠπš 
 %πš–πšŸ  %πš–πš πš›πšŠπš—πš”  %πš—πš˜πšπšŽπš‹πš˜πš˜πš”  %𝚘𝚌𝚝𝚊𝚟𝚎  %πš™πšŠπšπšŽ 
 %πš™πšŠπšœπšπšŽπš‹πš’πš—  %πš™πšπš‹  %πš™πšπšŽπš  %πš™πšπš˜πšŒ  %πš™πšπš’πš•πšŽ  %πš™πš’πš—πšπš˜ 
 %πš™πš’πš—πšπš˜πŸΈ  %πš™πš’πš™  %πš™πš˜πš•πš’πš–πšŠπš”πšŽ  %πš™πš˜πš™πš  %πš™πš™πš›πš’πš—πš 
 %πš™πš›πšŽπšŒπš’πšœπš’πš˜πš—  %πš™πš›πšžπš—  %πš™πšœπšŽπšŠπš›πšŒπš‘  %πš™πšœπš˜πšžπš›πšŒπšŽ 
 %πš™πšžπšœπš‘πš  %πš™πš πš  %πš™πš’πšŒπšŠπš  %πš™πš’πš•πšŠπš‹  %πššπšπšŒπš˜πš—πšœπš˜πš•πšŽ 
 %πššπšžπš’πšŒπš”πš›πšŽπš  %πš›  %πš›πšŽπšŒπšŠπš•πš•  %πš›πšŽπš‘πšŠπšœπš‘πš‘ 
 %πš›πšŽπš•πš˜πšŠπšβŽ―πšŽπš‘πš  %πš›πšŽπš™  %πš›πšŽπš›πšžπš—  %πš›πšŽπšœπšŽπš 
 %πš›πšŽπšœπšŽπšβŽ―πšœπšŽπš•πšŽπšŒπšπš’πšŸπšŽ  %πš›πš–  %πš›πš–πšπš’πš›  %πš›πšžπš— 
 %πš›πšžπš—πšπš’πš•πšŽ  %𝚜𝚊𝚐𝚎𝟢  %𝚜𝚊𝚟𝚎  %𝚜𝚌  %πšœπšŒπš’πš•πšŠπš‹ 
 %πšœπšŽπšβŽ―πšŽπš—πšŸ  %πšœπš’πš—πšπšžπš•πšŠπš›  %πšœπšπš˜πš›πšŽ  %𝚜𝚑  %πšœπš’πšœπšπšŽπš– 
 %πšπš‹  %πšπš’πš–πšŽ  %πšπš’πš–πšŽπš’πš  %πšžπš—πšŠπš•πš’πšŠπšœ  %πšžπš—πš•πš˜πšŠπšβŽ―πšŽπš‘πš 
 %πš πš‘πš˜  %πš πš‘πš˜βŽ―πš•πšœ  %πš πš‘πš˜πšœ  %πš‘πšπšŽπš•  %πš‘πš–πš˜πšπšŽ

π™°πšŸπšŠπš’πš•πšŠπš‹πš•πšŽ πšŒπšŽπš•πš• πš–πšŠπšπš’πšŒπšœ:
%%!  %%π™·πšƒπ™Όπ™»  %%πš‚πš…π™Ά  %%πšŠπš‘πš’πš˜πš–  %%πš‹πšŠπšœπš‘  %%πšŒπšŠπš™πšπšžπš›πšŽ 
 %%πšŒπš’πšπš‘πš˜πš—  %%πšπšŽπš‹πšžπš  %%πšπš’πš•πšŽ  %%πšπš˜πš›πšπš›πšŠπš—  %%πšπš›πš’πšŒπšŠπšœ 
 %%πšπšŠπš™  %%πšπšŠπš™πŸΉ  %%πšπš’πšŠπšŒ  %%πšπš™  %%πš‘πšπš–πš• 
 %%πš“πšŠπšŸπšŠπšœπšŒπš›πš’πš™πš  %%πš“πšœ  %%πš”πšŠπšœπš‘  %%πš•πšŠπšπšŽπš‘  %%πš•πš’πšŽ 
 %%πš•πš’πšœπš™  %%πš–πšŠπšŒπšŠπšžπš•πšŠπš’πŸΈ  %%πš–πšŠπšπš–πšŠ  %%πš–πšŠπš™πš•πšŽ 
 %%πš–πšŠπš›πš”πšπš˜πš πš—  %%πš–πšŠπšπš‘πšŽπš–πšŠπšπš’πšŒπšŠ  %%πš–πšŠπšπš‘πš’πšŒπšœ 
 %%πš–πšŠπšπš•πšŠπš‹  %%πš–πšŠπš‘πš’πš–πšŠ  %%πš–πšžπš™πšŠπš  %%πš–πš πš›πšŠπš—πš” 
 %%𝚘𝚌𝚝𝚊𝚟𝚎  %%πš™πšŽπš›πš•  %%πš™πš˜πš•πš’πš–πšŠπš”πšŽ  %%πš™πš›πšžπš—  %%πš™πš’πš™πš’ 
 %%πš™πš’πšπš‘πš˜πš—  %%πš™πš’πšπš‘πš˜πš—πŸΈ  %%πš™πš’πšπš‘πš˜πš—πŸΉ  %%πš›  %%πš›πšžπš‹πš’ 
 %%𝚜𝚊𝚐𝚎𝟢  %%πšœπšŒπš’πš•πšŠπš‹  %%πšœπšŒπš›πš’πš™πš  %%πšœπš‘  %%πšœπš’πš—πšπšžπš•πšŠπš› 
 %%𝚜𝚟𝚐  %%𝚜𝚑  %%πšœπš’πšœπšπšŽπš–  %%πšπš’πš–πšŽ  %%πšπš’πš–πšŽπš’πš 
 %%πš πš›πš’πšπšŽπšπš’πš•πšŽ

π™°πšžπšπš˜πš–πšŠπšπš’πšŒ πš’πšœ 𝙾𝙽, % πš™πš›πšŽπšπš’πš‘ π™Έπš‚ π™½π™Ύπšƒ πš—πšŽπšŽπšπšŽπš 
πšπš˜πš› πš•πš’πš—πšŽ πš–πšŠπšπš’πšŒπšœ.

Please help me to understand the function of '%auto' (is there a reference 
for sage 'magics' ?). Is '%auto' a line magic or cell magic or something 
else?

Thank you for your help.

Regards,

phiho


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