What are the critical points of $f(x) =e^(e^x)$ ?

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Answer 1 · 2015-11-10T09:50:17

No critical points.

Critical points occur when the derivative of the function is zero or undefined.

In this case, $d/dx(e^(e^x))=e^x*e^(e^x)=e^(x+e^x)!=0 AA x in RR$

Hence there are no critical points. The graph of the function also verifies this.

graph{e^(e^x) [-10, 10, -5, 5]}

What are the critical points of f(x) =e^(e^x)f(x) =e^(e^x)?