Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. calculus
  3. given the function g(x) = 4x 24x + 36x, find the

Given the function g(x) = 4x 24x + 36x, find the first derivative, g'(c).Notice...

70.2K

Verified Solution

Question

Calculus

image

Given the function g(x) = 4x 24x + 36x, find the first derivative, g'(c).Notice that g'(x) = 0 when I = 3, that is, g'(3) = 0.Now, we want to know whether there is a local minimum or local maximum at I = 3, so we will use thesecond derivative test.Find the second derivative, g''(x).g''(x)Evaluate g''(3)g''(3) Based on the sign of this number, does this mean the graph of g() is concave up or concave down at = 3?[Answer either up or down -- watch your spelling!!]At = 3 the graph of g() is concave Based on the concavity of g(x) at I = 3, does this mean that there is a local minimum or local maximumat I = 3?

Answer & Explanation Solved by verified expert
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

A---Write a net ionic equation to show that ethylamine, C2H5NH2, behaves as a Bronsted-Lowry base in water. -----Write...

Chemistry
Q

Which of the following is more encompassing? A) Electron transport chain B) Oxidation phosphorylation C) They are both...

Medical Sciences
Q

What is the equilibrium concentration of PO4 in a 0.511 M solution of H3PO4 (Ka1 =...

Chemistry
Q

You have decided to open three snow cone stands for the summer, have hired college kids,...

Accounting
Q

Question J If potential difference across a resistor of 80 2 varies as shown in...

Physics
Q

Plz send a new solution I m not getting how to do charge distribution in...

Physics
Q

1 Match the quote to the correct coordinate notation One is done for you A...

Geometry
Q

0 9 8 7 6 5 4 3 2 8 7 6 5 4 3...

Calculus
Q

Write the number as a product of a real number and i Simplify all radical...

Algebra
Q

Garden Sales, Incorporated, usually has to borrow money during the second quarter to support peak...

Accounting
Q

Coronado Company makes and sells widgets. The company is in the process of preparing its...

Accounting
Q

Manchester Clinic, a taxpaying entity, estimates that it can save $28,000 a year in cash...

Accounting