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.
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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