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Problem

Differentiate. $ f(x) = \frac {ax + b}{cx + d}…
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Clarissa N.
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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

Problem 25 Easy Difficulty

Differentiate.

$ f(x) = \frac {x}{x + \frac {c}{x}} $

Answer

$=\frac{2 c x}{\left(x^{2}+c\right)^{2}}$

More Answers

00:56

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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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

he It's clear. So when you raid here, so we're gonna take the derivative in terms of facts. For X over x plus C c over x. This is equal to D over d. X for X times X plus be over X minus X be over DX for X plus C over x. This is over X plus see over X square. This becomes equal to negative negative de over de X for X over X square, C plus one x plus x plus C over X all over X plus. See over X square. This becomes equal to negative one minus C over next square times X plus X plus C over X over X plus C over X square. When we simplify, we got to see X over X square plus C square.

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
Anna Marie V.

Campbell University

Heather Z.

Oregon State University

Kayleah T.

Harvey Mudd College

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Calculus 1 / AB Bootcamp

Lectures

Video Thumbnail

03:09
Precalculus Review - Intro

In mathematics, precalculus is the study of functions (as opposed to calculu…
Video Thumbnail

31:55
Functions on the Real Line - Overview

In mathematics, a function (or map) f from a set X to a set Y is a rule whic…
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