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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)© BrainMass Inc. brainmass.com November 24, 2022, 11:44 am ad1c9bdddf
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.