Wednesday, July 21, 2021

[dwjgaijg] sophomore's dream guitar pick

at x=0, the functions x^x and x^-x are both tangent to the x axis (derivative is infinity).  this is not obvious from small plots.  limiting value of both is 1.

at x=1, slopes are 1 and -1.  both again have value 1, forming a right angle.

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