Question: With today's technology and powerful computers, it is often tempting to think that the curve sketching process is not needed anymore. However, basing our conclusions

With today's technology and powerful computers, it is often tempting to think that the curve sketching process is not needed anymore. However, basing our conclusions on a sketch from a computer screen can be risky.

That is the case, for instance, with the function

f(x)=x4 - 408x3 + 3600x2

a) calculate f' and find the x-values of its extreme points

b) calculate f" and fid the x-values of its points of inflection (round to 2 decimals)

c) draw a sketch of the graph of f, that clearly shows extreme and inflection points

show all work please

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