Let g be the function give by g(x) = x^4 - 4x^3 + 6x^2 - 4x + k where k is constant. A.On what...

Question:

Monotony and concavity:

We are looking for the monotony of this function, so we will need to differentiate the function with respect to the variable 'x'.

Then, we need the concavity, so we will need the second derivative.

Note that in the interval(s) where the first derivative is positive, the function increases, while in the interval(s) where the derivative is negative, the funciton decreases.

Answer and Explanation: