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Problem

Find $ y" $ by implicit differentiation. $ x^2 +…

03:19

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Problem 35 Medium Difficulty

Find $ y" $ by implicit differentiation.
$ x^2 + 4y^2 = 4 $


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01:30

Frank Lin

Related Courses

Calculus 1 / AB

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 5

Implicit Differentiation

Related Topics

Derivatives

Differentiation

Discussion

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GM

Gabriel M.

October 21, 2021

The breakdown of the problem is terrible. The final answer is not complete.

BD

B D.

March 5, 2021

I just don like that there is almost no explanation! So, I guess this site is just to see the anwser not to improve knowledge.

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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.

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Problem 80

Video Transcript

if this problem were given in question. Expert always hurt before. And whereas find secondary, why must first find first Barrett off. Why? So let's take a look of all the traffic expert. Have to ex plus eight. Why and why? Primacy From this we see that weapon is going native x or y l Let's use kosher cruel and take their toe that one weapon will then be negative. Oh, or war waas. So minus X times or Y front divided by 16 wide screen here we know what y prime iss So we're gonna take this and implicated here that would give us negative off or wine or ex times actual. Or why divided by sting y squared basis Negative off or Wes Craig who? Less expert right by 16 for Cube. Now look at what we have here in the numerator and look at the orginal equation and those are the same. So we know that this is equal before, so we can then right y double time has negative four or 16 Like you. Yes, Well, guess allowed for the answer is negative warrant or or why you

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Calculus: Early Transcendentals

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Related Topics

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Heather Zimmers

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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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