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Differentiate.

$ y = \frac {s - \sqrt{s}}{s^2} $

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00:24

Frank Lin

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 2

The Product and Quotient Rules

Derivatives

Differentiation

Baylor University

University of Michigan - Ann Arbor

Idaho State University

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.$$y=2 \s…

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he It's clear. So when you read here, so we're gonna find it The derivative in terms of gas for s minus square root of us over square. This is equal to D over D s. There s minus square root of us times square minus less minus squared of us. Do you Over D s, that's square all over a square square. This becomes equal to one minus square of s 1/2 minus one square s square, minus two s. Come s minus. Grow rude of us over us to the fourth. Normally simplify, we get one minus one over two square root of us times square minus to us s minus square. Root of us over as to the fourth, which is equal to negative to square of pass minus three over to s to the 5/2 power

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