Differentiation of Piecewise FunctionsDescribe how you would differentiate a piecewisefunction. Use your approach to find the first and secondderivatives of f(x) = x|x|. Explain why f"(0) does notexist.

Answered: Image /qna-images/answer/166ad9d9-7de7-4945-8f3b-21d4fb623b60.jpg

Answered: Differentiation of Piecewise Functions…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 15T

See similar textbooks

Similar questions

Decomposing Functions If f(x)=x2+3, express f as a composition of two functions.
Deduction of the second derivative criterion for optimization of functions <br> of two variables using and as related to Taylor
Using the limit definition of the derivative of a function at a point, show that the function f(x)= |x-2| is not differentiable at a=2.
Find the local maximum and minimum values of f using both the first and second derivative tests. f(x) = x2 / (x - 1) *please use handwriting not typing, I understand it better that way*
Derivative of the function is given. Identify critical values f'(x) = 5x(x-2)(x-5)^2/27
Describe how you would differentiate a piecewise function. Use your approach to find the first and second derivatives of f(x) = x∣x∣. Explain why f ″(0) does not exist.
Find all relative extrema of the function f(x)=-4x2-32x-62. Use the Second Derivative Test where applicable.
Composition of Functions (with x)
The definition of the derivative function is f′(x)=f(x+h)−f(x)h.f′(x)=h→0limhf(x+h)−f(x). Use this definition to calculate the derivative of f(x)=3x+1f(x)=3x+1. Show all work.
A right triangle has one vertex on the graph of y = x3, x > 0, at (x, y) another at the origin, and the third on the positive y-axis at (0, y). Express the area A of the triangle as a function of x.
continuity of function
Graph the function. Then use the derivative and algebra to find the location of the critical points and where the function is monotonic (that is, increasing or decreasing) and explain the shape of the graph. f(x)=3x5-20x3

SEE MORE QUESTIONS

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Functions and Change: A Modeling Approach to Coll…

Algebra

ISBN:

9781337111348

Author:

Bruce Crauder, Benny Evans, Alan Noell

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Functions and Change: A Modeling Approach to Coll…

Algebra

ISBN:

9781337111348

Author:

Bruce Crauder, Benny Evans, Alan Noell

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

Differentiation of Piecewise Functions Describe how you would differentiate a piecewise function. Use your approach to find the first and second derivatives of f(x) = x|x|. Explain why f"(0) does not exist.