Quick question regarding Analytical Applications of Differentiation

I am still a student, I am thrilled in learning, so please be throughly :)

Question pictures bellow: 

The following quick question regarding: Analytical Applications of Differentiation


References:
https://teachingcalculus.com/2021/10/12/unit-5-analytical-applications-of-differentiation-2/
https://calculus.flippedmath.com/unit-5.html


Transcript:

The continuous function g, consisting of two line segments and a parabola, is defined on the closed interval [−3, 6], is shown. Let f be a function such that f(1) = 1/e  and f ′(x) = e^(−x) (1 − x).

Part A: Complete the table with positive, negative, or 0 to describe g′ and g″. Justify your answers. (3 points)

 
Table attached
 
 


Part B: Find the x-coordinate of any critical points of f and classify as a relative minimum, a relative maximum, or neither. Justify your answers. (3 points)

Part C: Find all values of x at which the graph of f has a point of inflection. Justify your answers. (2 points)

Part D: Let h be the function defined by h(x) = 2f(x)g(x). Is h increasing or decreasing at x = 1? Justify your answer. (2 points)

 


 

  • Low bounty for a multiple part question.

  • @blue can you please answer it, we don't turn things in near the deadline. Thanks

Answer

Answers can only be viewed under the following conditions:
  1. The questioner was satisfied with and accepted the answer, or
  2. The answer was evaluated as being 100% correct by the judge.
View the answer
Blue Blue
167
The answer is accepted.
Join Matchmaticians Affiliate Marketing Program to earn up to a 50% commission on every question that your affiliated users ask or answer.