What is the total number of relative maximum and minimum points of the function whose derivative for all x is given by f ‘ (x) = x(x – 3)^2 (x + 1)^4 ?

There are in total 3 maximum and minimum points of f(x)

Step-by-step explanation:

To find the number of stationary points (maximum and minimum points) in any function (f(x)), we need to find for what values of x does the derivative of f(x) equal to 0.

mathematically, for how many values of x does f'(x) = 0

since the factors can be separately solved we can write

Since there are 3 answers of x for which f'(x) = 0, we can say that the there are a total of 3 stationary (maximum or minimum) points in f(x).

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted

answer is 144

step-by-step explanation: