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Problem

Find $ dy/dx $ by implicit differentiation. $ \…

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Problem 11 Easy Difficulty

Find $ dy/dx $ by implicit differentiation.
$ y \cos x = x^2 + y^2 $


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00:35

Frank Lin

Related Courses

Calculus 1 / AB

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 5

Implicit Differentiation

Related Topics

Derivatives

Differentiation

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04:40

Derivatives - Intro

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.

Video Thumbnail

44:57

Differentiation Rules - Overview

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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Watch More Solved Questions in Chapter 3

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Problem 46
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Problem 49
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Problem 56
Problem 57
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Video Transcript

He's probably given any questions that were asked to use interest depreciation to find a video file. Respect, excellence. I tear it off all the terms with respect effects. Let's start from the German left inside. We're gonna support hope. So we have Sign Ex Turns. Why, plus co signed X times you want Begin Since why's function X on the left on the right. Inside we have two X plus two wine again you. And yet, since Y is a function extra less group all the terms with DVDs one side. Unless group over terms, you got a few ideas on your side. Let's write this one as you want the eggs off to while my disco side effects. Is it going to, uh, we have? Well, that would be negative. Selects since they were two courtside inspector sign. So we have negative. All sign next times. Why minus two X. So basically, I took this Theo idea next time and right here into that two extra men riding on the back. So we haven't divine the answer for everything to be negative off. Why time sign Next plus two x divided by two. Why minus co signer. Thanks or that is equal to white time. Sign of X. You know, I don't like to x divided by co sign X minus two. What?

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Calculus: Early Transcendentals

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Top Calculus 1 / AB Educators
Grace He

Numerade Educator

Anna Marie Vagnozzi

Campbell University

Heather Zimmers

Oregon State University

Caleb Elmore

Baylor University

Calculus 1 / AB Courses

Lectures

Video Thumbnail

04:40

Derivatives - Intro

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.

Video Thumbnail

44:57

Differentiation Rules - Overview

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.

Join Course
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Find dy/dx by implicit differentiation. x^2/x + y= y^2 + 2

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Find $ dy/dx $ by implicit differentiation. $ \frac {x^2}{x + y} = y^2 + 1 $

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Find $ dy/dx $ by implicit differentiation. $ \cos (xy) = 1 + \sin y $
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