
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given the derivative of the function $y=f(x)$ is $f′(x)=e^{x}+ \frac {k^{2}}{e^{x}}- \frac {1}{k}$, where $e$ is the base of the natural logarithm, and $k$ is a real number, and $f(x)$ is not a monotonic function on $\mathbb{R}$, determine the range of the real number $k$.

Present the answer in LaTex format: \boxed{Your answer}
user