/sci/ - Science & Math

>>10002000
Help dudes, this function broke my calculus. a = -1/2 seems to me to be a relative minimum yet Wolfram Alpha says that the derivative at this point exists, and is finite and non-zero. But this contradicts the theorem which states that every relative extremum is a critical point. I think that Wolfram is wrong and that the derivative is not defined at this point, as the two functions inside the maximum are equal in value at this point, but the derivatives have different signs. Pls help a chemist pleb.