3. If f(x) =, for x ＞ 1, then f'(e) =_________

2. Generating and capturing a new research question with personal insight and consulting with others: We. should search and review the latest literature in various trans-disciplinary fields in databases and search engines for new Al tools, areas and demands, using our own direct intuition, prior experience and imagination. We should then ask reliable experts for their opinions on the newly self-devised research topic or question in order to obtain a better research design.

3. Surpassing the value/cost trade-off and focusing on successful innovation: We should aim to realize short-term and long-term plans in an organized way with reasonable expenses, and anticipate unexpected outcomes. While in the research process, we should prioritize successful innovation, not the value/cost ratio. New opportunities, including financial support, are likely to come from this approach.

1. =_________

2.=_________

4. If f(x) =dt, for x , then =_________

5.=_________

6.=_________

7. =_________

8. If f(x,y) = , for x ＞0 and y , then =_________

9. The equation for the tangent plane to the surface x2 + 4y2 + 9z2 = 3 at the point is ________.