Question

Find all critical numbers by hand. If available, use graphing technology to determine whether the critical number represents a local maximum, local minimum, or neither.

f(x) = x^4 - 3x^3 + 2

Answer 1

@rajathsbhat can u help?

Answer 2

not too sure about this :\

Answer 3

ok

Answer 4

@electrokid can u help?

Answer 5

are you allowed to use calculus for this? or algebra 2?

Answer 6

take derivative

Answer 7

okay the derivative is x^2(4x - 9)

Answer 8

or 4x^3 - 9x^2

Answer 9

set that equal to 0 and solve for x

Answer 10

okay

Answer 11

i get 0 and 9/4

Answer 12

that's your criticle number

Answer 13

okay so thats it?

Answer 14

how do i determine whether it is local maximum, minimum or either

Answer 15

neither*

Answer 16

1)Plug in Crit point into F''(t); positive number mean min, negative number mean max

Answer 17

okay thanks