Properties of an Exponential Function

Question

All of the following statements regarding the properties of the function $$f(x)=e^{2*x}$$ are true except:

Accepted Answer

The function is periodic with period $$\pi$$.

Answer

It satisfies the condition $$f(0)=1$$.

Answer

Its derivative is given by $$2*e^{2*x}$$.

Answer

The function is always positive for all real values of $$x$$.

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