Problem

Find $ f'(x) $ and $ f"(x). $ $ f(x) = (x^3 + …

02:40

Problem 26 Easy Difficulty

Differentiate.

$ f(x) = \frac {ax + b}{cx + d} $

Answer

$f^{\prime}(x)=\frac{a d-b c}{(c x+d)^{2}}$

More Answers

00:28

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

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Video Transcript

it's clear still in you, Marie Here. We're gonna take the derivative in terms of X for a X plus. Be over see X plus d. This is equal to D over t X for X plus. Be time CX plus D minus. X plus Be D over DX. First see X plus D all over. See X Plus Thieves Square. This becomes equal to one a plus. Ciro. See X trusty minus. Once the plus zero, the X plus be see X plus D Square. This is equal to a oversee D plus C x plus D minus C times the X plus Be well. Oversee X plus be square. This is equal to a D minus. BC oversee X less deep 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

Kayleah T.

Harvey Mudd College

Caleb E.

Baylor University

Joseph L.

Boston College