Question

Concavity and inflection points

Answer 1

\[f(x)=2x^3+3x^2-36x\]

Answer 2

\[f'x=6x^2+6x-36\]

Answer 3

\[f''x=12x+6\]

Answer 4

\[x=-1/2\]

Answer 5

Hi C:

Answer 6

@ilikephysics2 hey can you show me how to find an inflection point?

Answer 7

c:

Answer 8

you have it -1/2 thats it

Answer 9

ive got the concavity and where it increases and decreases, just not sure how they are finding the inflection point which the book has (-1/2,37/2)

Answer 10

what is the 37/2?

Answer 11

take the -1/2 and plug it back into the original equation and you will get the 37/2

Answer 12

ok, should i do that everytime?

Answer 13

yes

Answer 14

thanks!!!

Answer 15

:D