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Differentiate.

$ h(r) = \frac {ae^r}{b + e^r} $

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00:41

Frank Lin

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 2

The Product and Quotient Rules

Derivatives

Differentiation

Missouri State University

Baylor University

University of Michigan - Ann Arbor

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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it's clear. So when you married here. So we're gonna take the derivative in terms of our since it's each of our for a e to the are over eat the R plus B Then we take that ate out get G over d r Were each the r over eat the R plus B. This is equal to t over de arm or eat the R terms Beats the art plus B minus. Beat the art d over d. R. You two are plus B over eat the R plus B square. Then we put a at the end and when we simplify, you get a times eat are come meet our plus B minus eat Our plus zero kind eats the R all over each the r plus B square. When we simplify yet eh be beat to the r Over eat the R plus B square

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