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Differentiate the function.$ F(z) = \frac{A + Bz + Cz^2}{z^2} $

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00:33

Frank Lin

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 1

Derivatives of Polynomials and Exponential Functions

Derivatives

Differentiation

Oregon State University

University of Nottingham

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 the function…

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$ f…

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Differentiate.$z = w ^…

it's clear it's the one you married here. We gonna rewrite f of Z as a Z to the negative negative too. Plus B z to the negative one plus c used a summon difference roll. So we get d over. Do you see for a Z to the negative too? Plus de over de easy BZ to the negative one. And we have plus de over daisy for a C. We used the constant function role. This becomes a zero. We could take up the Constance using the constant multiple role and apply the parole to get a negative to Z the negative to minus one cluster B negative one z to the negative one minus one, which is equal to negative too, eh? Well, we're in Z Cube. Mina's be overseas square.

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