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Differentiate.

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

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00:28

Frank Lin

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 2

The Product and Quotient Rules

Derivatives

Differentiation

Missouri State University

Harvey Mudd College

Baylor University

University of Michigan - Ann Arbor

Lectures

04:40

In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.

44:57

In mathematics, a differentiation rule is a rule for computing the derivative of a function in one variable. Many differentiation rules can be expressed as a product rule.

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$ f…

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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.

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