The derivative of (x) = x 2 is zero at x = 0, but is not
Question:
The derivative of ƒ(x) = x2 is zero at x = 0, but ƒ is not a constant function. Doesn’t this contradict the corollary of the Mean Value Theorem that says that functions with zero derivatives are constant? Give reasons for your answer.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 62% (8 reviews)
The corollary of the Mean Value Theorem states that if a function is continuous o...View the full answer
Answered By
Ma Kristhia Mae Fuerte
I have extensive tutoring experience, having worked as a private tutor for over three years. I have tutored students from different academic levels, including high school, undergraduate, and graduate levels. My tutoring experience has taught me to be patient, attentive to student needs, and effective in communicating difficult concepts in simple terms.
I have a strong background in statistics, probability theory, data analysis, and data visualization. I am proficient in using statistical software such as R, Python, and SPSS, which are commonly used in academic research and data analysis. Additionally, I have excellent communication and interpersonal skills, which enable me to establish rapport with students, understand their learning styles, and adapt my teaching approach to meet their needs.
I am passionate about teaching and helping students achieve their academic goals.
0.00
0 Reviews
10+ Question Solved
Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
Question Posted:
Students also viewed these Mathematics questions
-
Which of the functions satisfy the hypotheses of the Mean Value Theorem on the given interval, and which do not? Give reasons for your answers. is zero at x = 0 and x = 1 and differentiable on (0,...
-
a. Give an example of a differentiable function whose first derivative is zero at some point c even though has neither a local maximum nor a local minimum at c. b. How is this consistent with...
-
The function (x) = |x| has an absolute minimum value at x = 0 even though is not differentiable at x = 0. Is this consistent with Theorem 2? Give reasons for your answer. Theorem 2 THEOREM 2-The...
-
The following items are dropped from an airplane. Rank them in order from lowest terminal speed to highest and justify your ranking. (a) Bowling ball (b) Beach ball (c) Spear or javelin (pointing...
-
1. What are the desired outcomes for Evergreen? What should Evergreen wish to accomplish with its order entry system? How do we know if the order entry system is working well or poorly? How is it...
-
Explain the difference between a realized gain and a recognized gain.
-
Consider the stock of Examples 14.3 and 14.4, which has \(\sigma=.20\) and an initial price of \(\$ 62\). The interest rate is \(10 \%\), compounded monthly. Consider a 5-month option with a strike...
-
Historical data show that customers who download music from a popular Web service spend approximately $ 26 per month, with a standard deviation of $ 4. Find the probability that a customer will spend...
-
Consolidated Balance Sheet Working Paper, Bargain Purchase On January 1, 2022, Paxon Corporation acquired all of the outstanding common stock of Saxon Company for $2 billion cash. The prior to the...
-
The market for smoothies is perfectly competitive and the market demand schedule is in the first table. Each of the 100 producers of smoothies has the costs given in the second table when it uses its...
-
What is an inflection point? Give an example. What physical significance do inflection points sometimes have?
-
The greatest integer function (x) = [x], defined for all values of x, assumes a local maximum value of 0 at each point of [0, 1). Could any of these local maximum values also be local minimum values...
-
1. Bob is a single, 40-year-old doctor earning $190,000 a year and is not covered by a pension plan at work. How much can he put into a deductible Traditional IRA in 2016?............ 2. Tony is a 45...
-
six business idea for an art business? six business ideas for real estate business?
-
Selecting the Best Alternative A business sponsor asked you as the systems analyst to explain the concept of weighted evaluation models. " How do you set the weight factors? Is it just a subjective...
-
As AI technology moves forward, we are going to have fewer people to work with, and possibly in the future, we will have AI robots like Neo to work with. What will happen if humans have conflicts...
-
1) What did your partner do well in the job interview? 2) What was their key asset that you took away from their job interview? 3) What areas of interest did they have to give to the position? 4)...
-
7. Please describe which color temperaments you feel work well together and which color temperaments may have conflicts. AND Why? Explain. The color temperaments that will work together are authentic...
-
a. Explain how South Koreas import ban on U.S. beef affected beef producers and consumers in South Korea. b. Draw a graph of the market for beef in South Korea to illustrate your answer to part (a)....
-
Use the given vectors u, v, and w to find each expression. u = 2i - 3j + k, v = -3i + 3j + 2k, w = i + j + 3k. u x v
-
Use the given vectors u, v, and w to find each expression. u = 2i - 3j + k, v = -3i + 3j + 2k, w = i + j + 3k. v x w
-
Use the given vectors u, v, and w to find each expression. u = 2i - 3j + k, v = -3i + 3j + 2k, w = i + j + 3k. v x u
-
2. Two books are stacked on top of each other on a level table, as shown. The mass of the upper book is greater than the mass of the lower book. a. Upper book Lower book In the space provided below,...
-
What point in the feasible region maximizes the objective function? y O Constraints -x+3y +1 objective function: C = 5x - 4y
-
Find the conditioneitherbalance n for thetoangle, measured relative to the floor horizontal, so that a ladder leaning against a wall remains upright.toethics. Assume that the staircase is...
Study smarter with the SolutionInn App