Question

let f be a function with a second derivative by f"(x)=x^2(x-3)(x-6). what are the x-coordinates of the points of inflection of graph of f ?

Answer 1

the answer is simple...
put f"(x)= 0
you will get points of inflections
answer is ...x=0, x=3,x=6

Answer 2

so I just plug in zero into the equation?

Answer 3

this answer shows the points of inflections of f(x)
it can be solve by finding solution of f"(x)=0

Answer 4

have you got it...?

Answer 5

yes thanks

Answer 6

wait i checked the answer and the point of inflection is only 3 and 6. why?

Answer 7

you have to make sure that f '' (x) changes in sign as you pass through each potential inflection point

Answer 8

this doesn't happen when you pass through x = 0, so that's why x = 0 is left out

Answer 9

thanks