Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. calculus
  3. consider the following function.f(x) = 4x^2/3find

Consider the following function.f(x) = 4x^2/3Find f(-8) and f(8).f(-8)f(8) =Find all values c in (-8,...

50.1K

Verified Solution

Question

Calculus

image

Consider the following function.f(x) = 4x^2/3Find f(-8) and f(8).f(-8)f(8) =Find all values c in (-8, 8) such that f'(c) = 0. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)C =Based off of this information, what conclusions can be made about Rolle's Theorem?This contradicts Rolle's Theorem, since f is differentiable, f(-8) = f(8), and f'(c) = 0 exists, but c is not in (-8, 8).This does not contradict Rolle's Theorem, since f'(0) = 0, and 0 is in the interval (-8, 8).This contradicts Rolle's Theorem, since f(-8) = f(8), there should exist a number c in (-8, 8) such that f'(c) = 0.This does not condict Rolle's Theorem, since f'(0) does not exist, and so f is not differentiable on (-88).Nothing can be concluded.

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: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Medical Sciences
1.2K views

Describe the fluids immediately inside and outside the lungs that make effective breathing possible. Your discussion...

Civil Engineering
1.2K views

Q1: Define creep in concrete? Distinguish it from elastic deformation. Q2: Discuss the rate of concrete drying...

Mechanical Engineering
1.2K views

4. A wagon of mass 14 tonnes is hauled up an incline of 1 in 20...

Biology
1.2K views

The protist amoeba has animal like traits such as a that function in water regulation...

Biology
1.2K views

Three Proteus vulgaris Two S m and P v will be under the positive glucose...

Basic Math
1.2K views

Simplify the given expression Express the answer with positive exponents 3 x 4 1 2...

Calculus
1.2K views

di 4 H 2 2 Give the ordered pairs in decimal form and separate with...

Calculus
1.2K views

Fiven the polynomial identify the coefficients and degree of each term 3x 2 7x 3x...

Accounting
1.2K views

Nielson Corp. sells its product for $8,800 per unit. Variable costs per unit are: manufacturing,...

Accounting
1.2K views

Vulcra, Inc., has a semimonthly payroll of $66,640 on September 15, 20--. The total payroll...

Accounting
1.2K views

A storage tank acquired at the beginning of the fiscal year at a cost of...

Accounting
1.2K views

A July sales forecast projects that 6000 units are going to be sold at a...