Motivation | Inspiration |
---|---|
Comes from external sources like rewards, recognition, or pressure. | Comes from within the individual based on values or purpose. |
Short-term influence to achieve specific goals. | Long-term and deeply rooted drive to act or create. |
May need to be repeated frequently to maintain performance. | Usually sustains effort without repeated triggers. |
Often task- or goal-oriented. | Often emotion- or vision-driven. |
Find the interval in which $f(x) = x + \frac{1}{x}$ is always increasing, $x \neq 0$.