Answered: 3) Without a graph, how can one show…

Math

Calculus

3) Without a graph, how can one show differentiability of a function at apoint?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter5: Polynomial And Rational Functions

Section5.3: Graphs Of Polynomial Functions

Problem 2TI: Use the graph of the function of degree 5 in Figure 10 to identify the zeros of the function and...

See similar textbooks

Related questions

Q: Find all points where the function is discontinuous.

A: Function is discontinuous at points where graph breaks. So, we have to find point where the given…

Q: If the line tangent to the graph of the function fat the point passes through the point (1,7) passes…

A: Given: The line tangent to the graph of the function f at the point (1,7) passes through the point…

Q: The graph of the function fx) =/x is stretched vertically by a factor the transformed function…

A: Given- The graph of the function fx = x is stretched vertically by a factor of a and is translated 3…

Q: On which the interval the function is increasing?

A: Given, The graph of the function is shown below :

Q: From each corner of a square tin, 12 inches on the side, small squares of side x are removed and the…

Q: 1. How to determine whether the function is continuous or not at a certain point?

A: As per our guideline we are supposed to be answer only one question please repost the other question…

Q: The graph of f is given above. Which statement regarding the local (or relative) minimum of f is…

A: Relative minima is the point where slope of the graph is zero and there is a change from negative…

Q: Use grahical edition to sketch the graph of f + g.

A: Let the given graphical data be plotted in the form of table x f(x) g(x) f(x)+g(x) 0 1 2 3…

Q: Sketch a rough graph of the function without using acalculator. y= In (x -1 )

Q: 29. Every straight line normal to the graph of g passes through the point (0, 1). Can you guess what…

Q: y = x² /9 – x

A: x=0 y=0 x=1 y=(8)^(1/2) x=2 y=4((7)^(1/2)) x=3 y=9((6)^(1/2))

Q: Please illustrate the difference between a function being continuous and differentiable by…

A: We have to illustrate the difference between a function being continuous and differentiable…

Q: Explain why a function with a removable discontinuity is not differentiable at that discontinuity

Q: so if|x| 2 43. f(x)

A: Following is the graph plotted for individual functions.

Q: sketch to graph the function f(x) = In(x + 2) – 1. %3D

A: f(x)=ln(x+2)-1Now, putting value of x=-1f(-1) =ln(-1+2)-1 [ln1=0] =0-1…

Q: Is it possible to define a function which is discontinuous on a closed, finite interval but has an…

Q: The owner of a luxury mtor yacht that sails among the 4000 Greek islands charges $400 per person per…

Q: It is defined as the limit of the ratio of the change in a function to the corresponding change in…

Q: determine from its graph if the function is one-to one.

A: fx=1-x2,x≤0xx+2,x>0

Q: Given the graph below, what can you say about the function at (-1,1)? Not Continuous Continuous

A: The graph of a function is said to be continuous if the value of the function exists for all values…

Q: Sketch one possible graph of a function f(x) defined on R that satisfies all the listed conditions.…

A: Plotting Graph.

Q: Use the graph of the function to estimate the interval on which the function is decreasing.

A: A function is said to be increasing when the y value increases as the x value increases.

Q: 18. Sketch a labeled graph of a function that fails to satisfythe hypothesis of the Intermediate…

A: Intermediate theorem states that if f is a continuous function then on the interval a,b the function…

Q: 29. Every straight line normal to the graph of g passes through the point (0, 1). Can you guess what…

A: 29) Note that the normal of the graph is a line perpendicular to the tangent of the graph. Here,…

Q: True or False The cube root function is odd and is decreasing on the interval (-∞,∞).

A: we have to tell whether the given statement is True or False

Q: Sketch a rough graph of the function without using acalculator. y= -In x

A: To Determine: Sketch a rough graph of the function without using a calculator. Given: we have y=-lnx…

Q: When is a function of two (three) independent variables continu-ous at a point in its domain? Give…

Q: The function f whose graph is given has a discontinuity at x=4 since does not exist. Prove true…

A: Topic:- function

Q: How can we analyze the graphs of functions having horizontal or vertical asymptotes?

A: Check for when we have vertical and horizontal asymptote

Q: What conditions must be satisfied by a function if it is to be con-tinuous at an interior point of…

A: A function is continuous at an interior point c of its domain if

Q: An even function is symmetric with respect to the________

A: An even function is symmetric with respect to the________

Q: The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $400 per person…

Q: Explain why functions with cusps are not differentiable even though they are continuous.

A: Derivative is a slope, defined by a limit. In order for a derivative to exist, it needs to be…

Q: Suppose a cannon is placed at the origin and elevated at an angle of 60 degrees. If the cannonball…

Q: The secant function is defined as: O hypotenuse adjacent O hypotenuse opposite о adjacent opposite о…

A: Given that secant function defined as

Q: Determine from the graph whether the function has any absolute extreme values on [a, b]. Then…

A: For given graph, Absolute Maximum is at x = d. and Absolute minimum does not exist.

Q: I'm confused on how to put a piecewise function into interval notation

A: To rewrite the definition of the given function using interval notation

Q: A wire of length 8x is bent into the shape of a circle. A. Express the circumference of the circle…

A: NOTE: Refresh your page if you can't see any equations. . the total length of the wire is L=8x so…

Q: Explain Why functions with cusps are not differentiable even though they are continuous.

Q: Sketch a graph of the piecewise defined function.

A: Given piece-wise defined function is: fx=2if x≤-1x2if x>-1

Q: Is the function continuous or discontinuous? If discontinuous, what condition is not satisfied?

A: Given:

Q: How can we verify the natural domains and associated ranges of some simple functions?

A: let f:X→Y be any function from a non-empty set X to a non-empty set…

Q: Given the graph below, what can you say about the function at x = -1? Continuous Not Continuous

A: Explanation of the answer is as follows

Q: With today's technology and powerful computers, it is often tempting to think that the curve…

A: Given function fx=x4-408x3+3600x2

Q: Sketch a graph of the piecewise defined function.

Q: Suppose that a function f whose graph contains no breaks or gaps on (a, c) is increasing on (a, b),…

A: Given, Suppose that a function f whose graph contains no breaks or gaps on (a, c) is increasing on…

Q: Identify three cases for a function NOT to be differentiable at a. Explain why each case fails the…

Q: If f (x) is the function whose graph is shown, on which interval is fincreasing? Use cursor to…

A: f(x) is the function whose graph is shown, on which interval is f increasing?

Q: Find the are of the left half of the curve of the function r = 3-2sin(θ).

Q: What conditions have to be checked to determine if a function is "well defined"? How would I show…

A: Let the function beThen we need to check 3 conditions to prove that the function is Well definedThey…

Question

3) Without a graph, how can one show differentiability of a function at apoint?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Data analysis

VIEW

Differentiablity at a point

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Power Series$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

What does it mean to say that f(4) is a local maximum valueof f ?
When examining the formula of a function that is the result of multiple transformations, how can you tell a horizontal compression from a vertical compression?
When examining the formula of a function that is the result of multiple transformations, how can you tell a horizontal stretch from a vertical stretch?
Why does the vertical line test tell as whether the graph of a relation represents a function?
How do the graphs of the functions f(x)=x2 and f(x)=x21 differ? We graphed them at the start of this section. What is the difference between their graphs? How are their graphs the same?
Why does the horizontal line test tell us whether the graph of a function is one-to-one?
Find the absolute maximum of the function graphed in Figure 3.
Describe why the horizontal line test is an effective way to determine whether a function is one-to-one?
Use the graph of the function of degree 5 in Figure 10 to identify the zeros of the function and their multiplicities.
When examining the formula of a function that is the result of multiple transformations, how can you tell a reflection with respect to the x-axis from a reflection with respect to the y-axis?