Question

How do you find the critical points of f(x)=x+(4/x)

Answer 1

I found the frst derivative but I don't know what to do after that

Answer 2

first derivative is equal to zero and solve for x

Answer 3

once you found the critical x values, plug back in and to get critical points

Answer 4

I don't know how to break down \[1-\frac{ 4 }{ x^2 }\]

Answer 5

\[1-\frac{4}{x^2}=0\]
solve for x

Answer 6

oh wait I just got x=-2,2

Answer 7

ok now substitute them back into the original equation

the critical points are?

Answer 8

-2, 0 2,4

Answer 9

sorry meant -2,-4

Answer 10

is that right(-2,-4)(2,4) for the critical points

Answer 11

Now that I have my critical points can you help me with the second part of my quesiton?