Question: Describe how you would differentiate a piecewise function. Use your approach to find the first and second derivatives of f(x) = xx. Explain why f(0)

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.

Step by Step Solution

★★★★★

3.44 Rating (170 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To differentiate a piecewise function we need to differentiate each piece separately and then check ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Precalculus Questions!

Find the first and second derivatives of the following function and use them to sketch a graph. f(x) = 1/x2 for 0

Find the first and second derivatives of the following function and use them to sketch a graph. f(x) = x - x2 for 0 x 1.

Find the first and second derivatives of the following function and use them to sketch a graph. f(x) = x-3 for x > 0.

4/9/23, 3:14 PM MyOpenMath HW19 Derivatives and the Shape of a Graph ($4.5) jarudi Umukunzi Question 1 0/1 pt . 100 2 24 The function f(x) = -2x3+ 36x2 - 210x + 6 has one local minimum and one local...

10 questions to be answered Given the function g(x) = 6x + 81x2 + 360x, find the first derivative, g'(x). g' (x) = Notice that g' (x) = 0 when x - - 5, that is, g'( - 5) = 0. Now, we want to know...

Hi, below are the photos of the question plz answer all questions and there is no need to give the explanation for the answer just fill the right blanks thanks Also, make sure the answers are right...

Hi, below are the photos of the question plz answer all questions and there is no need to give the explanation for the answer just fill the right blanks thanks. Also, make sure the answers are right...

3. [-I3.12 Points] DETAILS SAPCALCBR1 7.1.010. Consider the function below. f(X, y) = |n(x + y 3) (a) Evaluate f(3, 1). E (b) Evaluate f(e, 3). :1 (c) Find the domain of f. O X > 3 Oy>3 Ox+y>3...

13. [-/4 Points] DETAILS LARCALC11 13.5.027. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Differentiate implicitly to find the first partial derivatives of z. 3x2 + 2y2 + 522 = 4 dz ax az Need Help?...

Your company has a defined-benefit pension plan. You have the following information about the plan: At the end of last year, the plan's projected benefit obligation and fair value of plan assets was...

Air at 80 kPa and 127C enters an adiabatic diffuser steadily at a rate of 6000 kg/h and leaves at 100 kPa. The velocity of the air stream is decreased from 230 to 30 m/s as it passes through the...

3 6 A conventional mortgage usually has: Multiple Choice 3 points 0 0 : 5 6 : 1 8 equal payments. eBook References a government guarantee. a balloon payment. a payment cap. a variable interest rate....

1. What are the factors that would make you rethink your approach to IT operations management?

In Exercises use the graph of ' to sketch a graph of and the graph of ". 3 -02: 1 + -3 -2 -1 -3- f' 12 3 X

In Exercises use the graph of ' to sketch a graph of and the graph of ". -9 -6 3. 2 - -2 -3 y + f' 36 - X

In Exercises use the graph of ' to sketch a graph of and the graph of ". 20 16 12 8 4 -8-4 +x + 4 8 12 16

Stewart Company sold 180 units @ $320 each on October 31, 2014. Cash selling and administrative expenses were $15,000. The company's income tax rate is 40%. The following information is also...

Thompson Industrial Products Inc. (TIPI) is a diversified industrial-cleaner processing company. The company's Dargan plant produces two products: a table cleaner and a floor cleaner from a common...

TABLE 1 PRESENT VALUE OF $1 n 4% 5% 6% 7% 8% 9% 10% 12% 14% 16% 20% 1 0.961538 0.952381 0.943396 0.934579 0.925926 0.917431 0.909091 0.892857 0.877193 0.862069 0.833333 2 0.924556 0.907029 0.889996...