Problem

Differentiate. $ y = \frac {t^3 + 3t}{t^2 - 4t…

02:37

Problem 14 Easy Difficulty

Differentiate.

$ y = \frac {\sqrt{x}}{2 + x} $

Answer

$-\frac{x-2}{2 \sqrt{x}(x+2)^{2}}$

Discussion

You must be signed in to discuss.

Top Calculus 1 / AB Educators

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

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

Problem 54

Problem 55

Problem 56

Problem 57

Problem 58

Problem 59

Problem 60

Problem 61

Problem 62

Problem 63

Problem 64

Video Transcript

Hey, it's Claire. So in your brain here, So we're gonna find the derivative and respect to X. We're a square root of X over X plus two. This becomes equal to D over DX for square root of X turned X plus two minus square root of X D over DX your X plus two all over X plus two square. I'm only simplify. We got X plus two over two square root of Epps, minus one plus zero square root of X over X plus two square. We're just equal to X plus two over two square root of X minus square root of X over X plus two squared just equal to negative X minus two over two square root of X times X plus two square.

Clarissa N.

Topics

Derivatives

Differentiation

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 2

The Product and Quotient Rules

Problem

Differentiate. $ y = \frac {t^3 + 3t}{t^2 - 4t…

Problem 14 Easy Difficulty

Differentiate.

$ y = \frac {\sqrt{x}}{2 + x} $

Answer

$-\frac{x-2}{2 \sqrt{x}(x+2)^{2}}$

More Answers

Topics

Calculus: Early Transcendentals

Discussion

Top Calculus 1 / AB Educators

Kayleah T.

Caleb E.

Samuel H.

Joseph L.

Calculus 1 / AB Bootcamp

Precalculus Review - Intro

Functions on the Real Line - Overview

Recommended Videos

Watch More Solved Questions in Chapter 3

Video Transcript

Topics

Calculus: Early Transcendentals

Top Calculus 1 / AB Educators

Kayleah T.

Caleb E.

Samuel H.

Joseph L.

Calculus 1 / AB Bootcamp

Precalculus Review - Intro

Functions on the Real Line - Overview

Recommended Videos

Problem

Differentiate. $ y = \frac {t^3 + 3t}{t^2 - 4t…

Problem 14 Easy Difficulty

Differentiate. $ y = \frac {\sqrt{x}}{2 + x} $

Answer

$-\frac{x-2}{2 \sqrt{x}(x+2)^{2}}$

More Answers

Topics

Calculus: Early Transcendentals

Discussion

Top Calculus 1 / AB Educators

Kayleah T.

Caleb E.

Samuel H.

Joseph L.

Calculus 1 / AB Bootcamp

Precalculus Review - Intro

Functions on the Real Line - Overview

Recommended Videos

Watch More Solved Questions in Chapter 3

Video Transcript

Topics

Calculus: Early Transcendentals

Top Calculus 1 / AB Educators

Kayleah T.

Caleb E.

Samuel H.

Joseph L.

Calculus 1 / AB Bootcamp

Precalculus Review - Intro

Functions on the Real Line - Overview

Recommended Videos

Differentiate.

$ y = \frac {\sqrt{x}}{2 + x} $