Question

CALCULUS QUESTION:
see attachment below

Answer 1

i already calculated for the first derivative, i got:
\[f'(x)=\frac{ -2(x^2+4+k^2) }{ (x+k)^2(x-k)^2 }\]

Answer 2

now, i already got letter a..

i just need a GUIDANCE for b PLEASE!!

Answer 3

Set that equal to 0, you can then rearrange for k in terms of x and you will have a condition for k that depends on what x is :)

Answer 4

Remember critical points appear when the derivative is equal to 0

Answer 5

yeah i did that for part a, how about b?

Answer 6

What did you get for k?

Answer 7

for part a, i got -2<k<2, where x must not equal to positive and negative k..
not sure though

Answer 8

critical points are for a derivative of 0; or when undefined

Answer 9

yes......?


oh, i forgot to put "x" above it should be 4x..