Answer the following questions for the function f(x) = - 6x -9x + 540x – 10. e. Set the formula for the second derivative f"(x) =0 to find any possible inflection points. Hint: A table on a grapher may or may not show when f")-0 depending on what your step size is, so use the formula or adjust your step size. t"(x) =0 at x = What can be concluded about the graph off at this value of x? Select the correct choice below and, if necessary, fill in the answer boxes within your choice. O A. There is a point of inflection at ( ) where the graph of f changes from concave up to concave down. O B. There is a point of inflection at ( ) where the graph of f changes from concave down to concave up. O C. No conclusion can be made. F. Choose the graph of the function f(x). OD. D A. OB. Ay 1900- AY 2400- AY 2400- 1p00- -15 15 30 30 -30 30 1900- -1500- -2400- -2400-

In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in ter…

The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which …

In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the …