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The derivative of x to the x 
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Cher pose la question : what about the derivative of x to the power x? Penny Nom lui répond. 





An equation involving x to the x 
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Joy Peter pose la question : I am joy, a teacher teaching Maths at the secondary level and while solving a sum came to this stage when i got x^{x} (1 + log x) = 0, by which we can conclude that x^{x} = 0 or 1 + log x = 0. If x^{x} = 0, than what should be the value of x? I feel that the value of x should then be 0 (zero) but then how do I explain this to the students as we also know that anything to the power of 0 is 1 but here 0 raised to 0 is 1. If this is not defined then how do I explain this? Penny Nom lui répond. 


