Question

How do you know concavity inflection points, and local min/max for f(x)=2x3+3x2−432x?

Answer 1

For local max or min put f'(x)=0

we get the values of x are 8 (or) -9

for min f"(x)>0

for max f"(x)<0

so we get min at x=8 and max at x= -9

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