Question

f(x)=x^2 -1 / x^3
At what opints, if any, does the function assume local extrem values?

Answer 1

differentiate the function and put it equal to zero
solve for x
u'll find some value
it'll be extrem value.

Answer 2

what you mean ?!

Answer 3

I differentiate before

Answer 4

you know about differentiation???

Answer 5

and I get X value

Answer 6

these values are extreme values!!

Answer 7

x value
x=sqrt(3)
and
x= - sqrt(3)

Answer 8

I want local extrem values

Answer 9

how I can get ?

Answer 10

the values you found ,check for local extrem values by this
local maximum at c if and only if f(x) f(c) for all x in some open interval containing c.
local minimum at c if and only if f(c) f(x) for all x in some open interval containing c.

Answer 11

f(x)<f(c)
f(x)>f(c)

Answer 12

what mean f(c)??

Answer 13

c is the value what you got