fina all relative extreme ( max and min or neither )
y = -3x^5 + 5x^3
so what i did is :
y' = -15x^4 + 15x^2
-15x^2 (x^2-1) = 0
x= 0 , x= 1 , x=-1
whats next ???
y = -3x^5 + 5x^3
so what i did is :
y' = -15x^4 + 15x^2
-15x^2 (x^2-1) = 0
x= 0 , x= 1 , x=-1
whats next ???
-
correct you got the value of x = 1 ok
then do f ' x = d^2y/dx^2
-15x^4+15x^
then f ' x -15x4= -60
then = -60x^3+30x
you have the value of x then substitute
-60(1)^3+30(1) = -30
so it is a max point
then do f ' x = d^2y/dx^2
-15x^4+15x^
then f ' x -15x4= -60
then = -60x^3+30x
you have the value of x then substitute
-60(1)^3+30(1) = -30
so it is a max point