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Differentiate.
$ g(x) = \frac {1 + 2x}{3 - 4x} $
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00:42
Frank Lin
Calculus 1 / AB
Chapter 3
Differentiation Rules
Section 2
The Product and Quotient Rules
Derivatives
Differentiation
Oregon State University
Idaho State University
Boston College
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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Differentiate.$$G(x)=\…
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$ G…
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00:38
Differentiate.$$g(x)=4…
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01:00
Differentiate the function…
it's clear it's when you read here. So we're gonna find the derivative for two X plus one all over three minus for X. When we do this, we get D over D x two x plus one times three minus for X nine hours to X plus one D over DX three minus four X all over three minus four X square. Then when we simplify this foul, get two times one plus zero three minus four x minus zero minus four times one times two X plus one all over three minus four X square. And when we simplify this, we get four times two x plus one over three minus for X Square, plus two over three minus four x, but just equal to 10 over for X minus three squared.
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