Question

1.    Let Y` = x3    - 2 x2 - 8x ( note : y prime...

1.    Let Y` = x3    - 2 x2 - 8x ( note : y prime )

Find the critical points _____________

Find Y`` ________________

a) Critical pt 1 x= ________

What is the concavity at critical point 1 ( positive or negative ) _______

Do we have a (local) max or min at crit. point 1 ? ___________

b)   Critical pt 2 x= ________

What is the concavity at critical point 2 ( positive or negative ) _______

Do we have a (local) max or min at crit. point 2 ? ___________

c)    Critical pt 3 x= ________

What is the concavity at critical point 3 ( positive or negative ) _______

Do we have a (local) max or min at crit. point 3 ? ___________

d) Using all of the information above, sketch the original Y function. Please label the critical points

Math   Calculus   
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