Problem

Differentiate. $ y = \frac {1}{t^3 + 2t^2 - 1}…

01:25

Problem 15 Easy Difficulty

Differentiate.

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

Answer

$\frac{t^{4}-8 t^{3}+6 t^{2}+9}{\left(t^{2}-4 t+3\right)^{2}}$

Discussion

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Problem 2

Problem 3

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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

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Problem 46

Problem 47

Problem 48

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Problem 50

Problem 51

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Video Transcript

It's clear, so inhumane here. So we're gonna differentiate this in terms of tea. We got t cute plus three tea over T Square minus 40 plus three just becomes equal to D over DT T Q plus three p comes T Square minus 40 plus three minus three Q plus three T terms de over de ti oh, teeth square minus 40 plus three. All over he square minus 40 plus three squared. Can we get three T Square plus three times one comes T square minus 40 plus three minus two tea minus or times one plus Cyril Terms T Acute plus three t all over T square minus 40 plus three square. This becomes equal to T square T to the fourth minus a T cubed plus 60 square less nine over P square minus 40 plus three where

Clarissa N.

Topics

Derivatives

Differentiation

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 2

The Product and Quotient Rules

Problem

Differentiate. $ y = \frac {1}{t^3 + 2t^2 - 1}…

Problem 15 Easy Difficulty

Differentiate.

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

Answer

$\frac{t^{4}-8 t^{3}+6 t^{2}+9}{\left(t^{2}-4 t+3\right)^{2}}$

More Answers

Topics

Calculus: Early Transcendentals

Discussion

Top Calculus 1 / AB Educators

Kayleah T.

Caleb E.

Samuel H.

Michael J.

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.

Michael J.

Calculus 1 / AB Bootcamp

Precalculus Review - Intro

Functions on the Real Line - Overview

Recommended Videos

Problem

Differentiate. $ y = \frac {1}{t^3 + 2t^2 - 1}…

Problem 15 Easy Difficulty

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

Answer

$\frac{t^{4}-8 t^{3}+6 t^{2}+9}{\left(t^{2}-4 t+3\right)^{2}}$

More Answers

Topics

Calculus: Early Transcendentals

Discussion

Top Calculus 1 / AB Educators

Kayleah T.

Caleb E.

Samuel H.

Michael J.

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.

Michael J.

Calculus 1 / AB Bootcamp

Precalculus Review - Intro

Functions on the Real Line - Overview

Recommended Videos

Differentiate.

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