**Question: **What is the smallest slope for a tangent line to the graph of the following function:

\[y=2{{x}^{3}}-2{{x}^{2}}+5x+1\]?

Make sure, as part of your solution, that you convince me you have actually find the smallest value.

Be careful, I’m not looking for the smallest value of the function. I’m looking for the smallest tangent slope of the function.

**Solution:**The solution consists of 135 words (2 pages)

**Deliverables:**Word Document