Problem

If $ g(x) = x/e^x, $ find $ g^{(n)}(x). $

01:47

Problem 41 Hard Difficulty

If $ f( x) = x^2/ (1 + x), $ find $ f" (1). $

Answer

$=\frac{1}{4}$

More Answers

01:46

Frank L.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 2

The Product and Quotient Rules

Discussion

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Missouri State University

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Watch More Solved Questions in Chapter 3

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

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Problem 14

Problem 15

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Problem 28

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Problem 35

Problem 36

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Problem 40

Problem 41

Problem 42

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Problem 46

Problem 47

Problem 48

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Video Transcript

hands clear. So when you right here, so we have a pup. Acts is equal to x square over one plus X. We're gonna difference she using the quotient rule to find the first year of it to get one plus x d over d X for X square minus x square d over DX for one plus x. This becomes equal to all over one plus square. This becomes equal to one plus x times two x minus X square times one over one plus x square just equal to two x plus x square over one plus x square. We're gonna find the second derivative Using the closure role, we get one plus x square D over DX go to X plus X square minus two X plus x square Do you over d x one plus x square all over one plus X square needs. Square that again and this becomes equal to one plus x times two plus two x minus two times two X plus x square all over one plus x cute. We just have to plug in X is equal to one. Then we get, uh, off. The second derivative of one is equal to 14 Yeah,

Clarissa N.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 2

The Product and Quotient Rules

Top Calculus 1 / AB Educators

Catherine R.

Missouri State University

Anna Marie V.

Campbell University

Samuel H.

University of Nottingham

Michael J.

Idaho State University