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Problem

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

02:11

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Problem 15 Medium Difficulty

Find $ dy/dx $ by implicit differentiation.
$ e^{x/y} = x - y $


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01:09

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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Top Calculus 1 / AB Educators
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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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Watch More Solved Questions in Chapter 3

Problem 1
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Problem 5
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Problem 6
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Problem 11
Problem 12
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Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
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Problem 20
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Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32
Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
Problem 38
Problem 39
Problem 40
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Problem 42
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Problem 44
Problem 45
Problem 46
Problem 47
Problem 48
Problem 49
Problem 50
Problem 51
Problem 52
Problem 53
Problem 54
Problem 55
Problem 56
Problem 57
Problem 58
Problem 59
Problem 60
Problem 61
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Problem 79
Problem 80

Video Transcript

this probable were given any question. And whereas isn't transition time there itself? Why X So we're gonna take their took old terms with respect. Ex starting from likeness that you have each of the excellent boy. But by buying narrative Oh, he function Excell. Why now? They're right inside. So we have won by this by the ex. He have you i d x. Because why the bunch of next? All right, so for this term right here, we're going to use caution. But also, we have each of the ex awhile mudslide by, um, the 1st 1 chin looks like by fortune the denominator y minus first function both blocked by the function you nominator divided by function that is equal to or minus D by he X. So let's group old terms with divine e X on one side. Um, less bird strike this morning as each of the excellent Why multiply by one Weisberg minus X over. Wife spirit must buy. Buy each of that. So why he won? Yes, that is equal to one months. He Why the X? Okay, so now we are ready to group over time. Do you have any eggs on one side. So we had you mind? Yes. Oh, um X over wine sprayed each of the excellent. Why? Minus one. And that is equal to each of the excellent wine or water minus one. All right, we can then, right? Do you want guys to be equal to, um, e to the X over? Why, minus one? There's something you wanted by. Why divide this by X times Each of the excellent wine minus voice. Greg, you like? Why spread? This was just, like ever went up for so that we will find the answer to be you want. The X is equal to Why times you to the exit awhile. But it's more spirit you want, but x times seated Excellent boy minus warrants for

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Calculus: Early Transcendentals

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Related Topics

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Top Calculus 1 / AB Educators
Catherine Ross

Missouri State University

Heather Zimmers

Oregon State University

Kayleah Tsai

Harvey Mudd College

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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