Let f(x) = x⁴(x - 1)³. (a) Find the critical numbers of the

Last updated: 7/24/2022

Let f(x) = x⁴(x - 1)³. (a) Find the critical numbers of the function f. (Enter your answers from smallest to largest.) smallest value x₁= x₂= largest value x₃= (b) What does the Second Derivative Test tell you about the behavior of fat these critical numbers? At x₁ the second derivative test [ is inconclusive] At x₂ the second derivative test [indicates a local minimum] At x₃ the second derivative test [is inconclusive] (c) What does the First Derivative Test tell you? Note what the First Derivative Test tells you that Second Derivative Test does not. At x₁ the first derivative test [indicates a local maximum] At x₂ the first derivative test [indicates a local minimum] At x₃ the first derivative test [indicates neither a minimum nor a maximum]