Please see the attached file for the fully formatted problem.
Find the critical points and use your test of choice to give local maximum and minimum values. Give those values.
f(x) = x^2 /sqrt(x^2 + 4)
write f(x) =x^2 * (x^2+4)^-1/2
note: "^" means to the power of
take the first derivative:
f' = 2x* (x^2+4)^-1/2 -1/2 x^2 * (x^2+4)^-3/2*2x
= 2x* ...
For a given fonction, critical points and maximum and minimum values are found.