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07.10.25.md (829B)


      1 07/10/25
      2 ========
      3 
      4 exp
      5 ---
      6 - see FIG1 for exp funcs
      7 - e^x has the derivative of e^x
      8 - it crosses at (0, 1)
      9 - never crosses the x axis
     10 
     11 log
     12 ---
     13 - see FIG2 for exp funcs
     14 - ln(x) is a mirror of e^x along y=x
     15 - ln(x) has the derivative of 1/x 
     16 - never crosses the y axis
     17 
     18 even and odd functions
     19 ----------------------
     20 - if FIG3 is true for all values of x then the function is even
     21 - x^2 is an even function
     22 - see FIG4 for the definiton of an odd function
     23 - y = x is an odd function
     24 - see FIG7 for how to split a function into even and odd parts
     25 - see FIG8 for how to split e^x
     26 
     27 hyberbolic functions
     28 --------------------
     29 - note that fo(x) = sinH(x) not sin(x), it is sin hyberbolic in FIG8 not 
     30 - fe(x) in FIG8 is cosH(x)
     31 - tanH(x) is sinH(x) / cosH(x)
     32 
     33 combining functions
     34 -------------------
     35 - see FIG10 for combining functions
     36 
     37 
     38