Question

Use the second derivative test to find all relative extrema of f(x)=5 + 3x² - x³

Answer 1

do you know how to get the second derivative?

Answer 2

i know the 1st derivative is -3(x-2)x

Answer 3

expant it and do it again

Answer 4

so the answer would be 6-6x?

Answer 5

y'=6x-3x^2
y''=6-6x

Answer 6

so now you must set that equal to zero to find where the function changes concaity

Answer 7

concavity*