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Direct linkLiu, Ai-Qi; Li, Guo-Fu; Guo, Bai-Ni; Qi, Feng – International Journal of Mathematical Education in Science and Technology, 2008
The function 1 divided by "x"[superscript 2] minus "e"[superscript"-x"] divided by (1 minus "e"[superscript"-x"])[superscript 2] for "x" greater than 0 is proved to be strictly decreasing. As an application of this monotonicity, the logarithmic concavity of the function "t" divided by "e"[superscript "at"] minus "e"[superscript"(a-1)""t"] for "a"…
Descriptors: Mathematics Instruction, Equations (Mathematics), Computation, Mathematical Formulas
