Answer to Question #323739 in Microeconomics for Axis

Question

1. Assess the following functions:

a. Find the stationary points.

b. Determine whether the stationary point is a maximum or minimum.

c. Draw the corresponding curves, they can be in the same graph.

1. 𝑓 ′(𝑥) = 𝑥 2 + 6𝑥 + 2

2. 𝑓 ′(𝑥) = 10𝑥 − 2𝑥 2 + 5 

Answer 1

1.

$f'=2x+6,$

$f'=0,$

$x=-3\to \text{min},$

$f(-3)=-7.$

2.

$f'=10-4x,$

$f'=0,$

$x=2.5\to \text{max},$

$f(2.5)=17.5.$