first derivative test f(x) = x2 e-x/4 { f(x) = x^2 e^(-x/4) QUESTION 16 10 points...

 

Transcribed Image Text:

first derivative test f(x) = x2 e-x/4 { f(x) = x^2 e^(-x/4) QUESTION 16 10 points Save Answer Second derivative test Consider the function g(x) defined as follows alx) = x2 In x with (implied) domain x > 0 { g(x) = x^2 In x, x > 0 } a. Find the first derivative g'(x) and use this to determine all the critical points. b. Find the second derivative g"(x) and apply the second derivative test to classify each critical point as a relative maximum, relative minimum, or neither. first derivative test f(x) = x2 e-x/4 { f(x) = x^2 e^(-x/4) QUESTION 16 10 points Save Answer Second derivative test Consider the function g(x) defined as follows alx) = x2 In x with (implied) domain x > 0 { g(x) = x^2 In x, x > 0 } a. Find the first derivative g'(x) and use this to determine all the critical points. b. Find the second derivative g"(x) and apply the second derivative test to classify each critical point as a relative maximum, relative minimum, or neither.