3. (5 pts) Show that f(x)=√ is not differentiable at x = = 0.( Show thelimit of the difference quotient is not finite.)

Answered: Image /qna-images/answer/58f7f44f-32ca-443b-8ebd-7d84e2cfd097.jpg

Answered: 3. (5 pts) Show that f(x) = √ is not…

Math

Advanced Math

3. (5 pts) Show that f(x) = √ is not differentiable at = 0.( Show the limit of the difference quotient is not finite.)

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

See similar textbooks

Related questions

Q: Match each equation on the left with its y = 0 trace on the right.

A: Given, x2-y2+z2=-1.

Q: Question 2. a. Determine P3 set. b. In P3, find the transition matrix S from the ordered basis F =…

A: Given ordered basis of P_3 are F={ 1,x, 2x^2+1 } And E={ 1 , x , x^2 }

Q: A Bernoulli differential equation is one of the form dy dx + P(x)y = Q(x)y". Observe that, if n = 0…

Q: Ex 4. Make use of differentiation or integration to obtain a power series for the given function,…

A: We have to find the power series of the given function.

Q: 1. Corners are cut from a 30 cm by 20 cm piece of cardboard. The volume is V(x) with height x. a)…

A: As per the guidelines I have solved first three subparts of the given problem.

Q: Level 3: Which is better? You are trying to invest $200 of your money to save. The bank is giving…

Q: The function y = 2 1 0 -1 -2 + A (x) = A (x) = : f(x) Incorrect 1 =√₁0 2 given by the figure. x-6 y…

Q: c. The volume of the solid generated by revolving the region bounded by y = 4√√x and the lines y =…

A: The region is bounded by y=4x and the line y=42 and x=0 About the line y=42

Q: Find the eigenvalues of the triangular or diagonal matrix. (Enter your answers as a comma-separated…

Q: 2. Determine whether the systems below are linear and/or time invariant. Be sure to show your work.…

Q: 3) Without graphing, determine the number of solutions for y - 3x = 6 18* (3y – 9x : =

A: Given that the system of equations y-3x=63y-9x=18 This is in the form AX=bHere A=1-33-9,X=yx ,…

Q: Determine the moment of inertia of the cross- sectional area of the reinforced channel about the…

A: The given cross sectional area is as follows Given a=3 in, b=3.2 in., c=2.8 in, t=1.4 in The…

Q: Solve the system Solve the system -2x+y=-3 by elimination. 7x - 3y = 9 8 (4x+10y = -11 (y = 12 - 6x…

Q: EXERCICE 3: Linear maps and determinant For all aeR, let f: R² R³ be the linear map defined by fa…

Q: Solve the system X1 x2 X3 X4 = x1 X1 +s +x2 X2 +x3 X3 +x4 +x4 || = = 2 4 1 -1

Q: Solve for x: log(x+4)= log(2x-1)

A: To solve the equation for x: log(x+4)=log(2x-1) Taking antilog both side we get, x+4=2x-1 =>…

Q: A Bernoulli differential equation is one of the form dy dî Observe that, if n = 0 or 1, the…

A: Firstly divide by x throughout the given equation and then compare it with Bernoulli's equation and…

Q: 4 If what does the following integral equal? -1 -8 y(v) dv= [₁ y(v)dv = 13 -8 and 3 [₁₂0² -1 y(v)dv…

Q: 2. Classification of ODES and PDES Identify Order, Linearity, Homogeneity, Type of Coeffs, No. of…

A: Note : As per our guidelines we will solve first three subparts . If you want any specific subpart…

Q: A giant cylindrical ocean aquarium has a glass wall around the outside (not including the floor and…

Q: a. Find the average value of ƒ on the given interval. b. find c such the ƒave= ƒ(c) c. Sketch the…

A: The step by step solution of the given problem is as follows:

Q: 2. Let f(x) = x² +1 2x Find f(x) + f(3) and f(x+3).

Q: Q6: Find the general solution of the following differential equation (D² + 2)y = x³ + x² +e-²x+cos3x

A: Solution :- Equation can be rewritten as :-y'' +2y=x3+x2+e-2x+cos3xA second order linear,…

Q: Evaluate answer = 2 cos(x) In (1+x²) + x³.4 1+ el.45x-70.4 -dx.

Q: Problem 17. Let T : R4 → R² be a linear transformation defined by b a+d 8-189 = [ C b + c d T a…

Q: 2. If 2 sin(x) x - 3 ≤ g(x) ≤ −e*−1 when x is near 1. Find lim g(x). x→1-

Q: Determine whether or not the given vector b is in the span of the vectors u₁ and u₂. [2] = [3], b…

Q: 21. Classity Ө y and Solve ў хах-Ўях= ухаўждау ر

Q: #6. Find the square roots of (a) 2i; (b) 1-√3 i and express them in rectangular wordinates. #7. Find…

Q: For which values of x E R, will the matrix M given by 1 1 1 1 X 1 1 2 1 be invertible? M = 1 1 1 2 1…

Q: 3. Find the domain of f(x): = x + √√√x +4 x² + 4x - 5* Write your answer in interval notation.

Q: 10, a2 The sequence {an} is defined recursively by a by mathematical induction that an = 3.2" + 4…

Q: You have measured the water level of a reservoir at different times throughout an year. You need to…

A: Given that you have measured the water level of a reservoir at different times throughout the year.…

Q: Evaluate the given expression. Take 2 0-5 B = [3 = [² _; -; ]· 1-5 5 4BT 000

A: TRANSPOSE OF A MATRIX: ANY MATRIX WHICH IS OBTAINED BY INTERCHAING ROWS AND COLUMNS OF A MATRIX, IS…

Q: Use Maclaurin series with three non-zero terms to evaluate the integral and limit. a) S 11–cost x2…

Q: Show that the following equations: x1(t)=e-2t+2e-t x2 (t)=e-2t+e-t They are solution of the…

Q: (x+xy)dx-<ў+x)dy=0

Q: Consider the following. 5-2 A- | 0 -3 01-3 04 0 1 2 2 ]-[ -6 2-4 (a) Verify that A is diagonalizable…

A: The given matrices A=5-200-30-62-4 and P=01-3040122. We have to verify that A is diagonalizable…

Q: Consider the set of vectors {V1, V2, V3} = = {A·A·A) following gives a geometric interpretation of…

A: The set of vectors is given by v1, v2, v3=101, 30-1, 011. We have to find the geometric…

Q: Find the eigenvalues and the corresponding eigenvectors of the matrix.

A: The given matrix is A=1-11012001 We have to find eigenvalues and the corresponding eigenvectors of…

Q: Given two 3D coordinate systems, (u, v, w) and (p, q, r), having the same origin, what is the…

A: As per the question we are given two different 3D coordinate system having same origin having…

Q: Which (if any) of the functions could be linear or exponential? Find formulas for those functions.…

Q: Find the solution of the following differential equations. Show your solutions. xdy + (y-y² In x) dx…

A: As you post multiple questions according to guidelines, I only solve first question. please post…

Q: 1. If A = find A1000 by diagonalizing. )Show every single step for your work).

Q: - Use mathematical induction to prove the following inequality (1+x) ≥ 1+ Nx when x>-1 for all…

Q: Given the three matrices below, determine which of the following expressions are defined. If an…

Q: U Couchy - Scho If x,y & IR", then Schwarz I neaquality. Ixoy | ≤ || x || -| ||

Q: Find the center of mass of the following plane region with variable density. Describe the…

A: We find centre of mass.

Q: Solve the homogeneous linear system X' = AX = (²3 = ( ²3 −1₂) × =12). X Please be as clear as…

Q: 3 dx = ex+2.1

Question

3. (5 pts) Show that f(x)=√ is not differentiable at x = = 0.( Show the
limit of the difference quotient is not finite.)

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local extremum offon (a,c) ?
What is the purpose of the Intermediate Value Theorem?
Determine if the statemment is true or false. If the statement is false, then correct it and make it true. If the function f increases on the interval -,x1 and decreases on the interval x1,, then fx1 is a local minimum value.
A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.