[All Steps] Let p(x)=x^3-ax where a is constant If a < 0, show that p(x) is always increasing. If a > 0, show that p(x) has a local maximum and a local
Question: Let \(p\left( x \right)={{x}^{3}}-ax\) where a is constant
- If a < 0, show that p(x) is always increasing.
- If a > 0, show that p(x) has a local maximum and a local minimum
- Sketch and label typical graphs for the cases when a<0 and when a>0
Deliverable: Word Document 
![[Solution Library] Indicate critical points on the](/images/solutions/MC-solution-library-34440.jpg "[Solution Library] Indicate critical points on the given graphs.")
[Solution Library] Indicate critical points on the given graphs.
![[Solved] Indicate critical points on the given](/images/solutions/MC-solution-library-34441.jpg "[Solved] Indicate critical points on the given graphs. Determine")
[Solved] Indicate critical points on the given graphs. Determine
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