FunctionMonotonicity

FunctionMonotonicity[f,x] finds the monotonicity of the function f with the variable x over the reals.

FunctionMonotonicity[f,x,dom] finds the monotonicity of f when x is restricted to the domain dom.

FunctionMonotonicity[{f,cons},x,dom] gives the monotonicity of f when x is restricted by the constraints cons. 

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