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Problem

Find $ dy/dx $ by implicit differentiation. $ e^…

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Problem 13 Medium Difficulty

Find $ dy/dx $ by implicit differentiation.
$ \sqrt {x + y} = x^4 + y^4 $


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00:59

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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JR

Jp R.

November 2, 2019

I could get this info from so many different places!! I need to know how to get the final answer simplfied!!!

JR

Jp R.

November 2, 2019

LAZY

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

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Problem 32
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Problem 79
Problem 80

Video Transcript

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Related Topics

Derivatives

Differentiation

Top Calculus 1 / AB Educators
Catherine Ross

Missouri State University

Kayleah Tsai

Harvey Mudd College

Caleb Elmore

Baylor University

Michael Jacobsen

Idaho State 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
Recommended Videos

02:11

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

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

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Find dy/dx by implicit differentiation. square root(x + y) = x^8 + y^8 dy/dx =

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Find $ dy/dx $ by implicit differentiation. $ x^2 - 4xy + y^2 = 4 $

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Find $ dy/dx $ by implicit differentiation. $ x^4 + x^2y^2 + y^3 = 5 $

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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 logarithmic differentiation. $$ y=\frac{\sqrt{x+13}}{(x-4) \sqr…

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Differentiate implicitly to find dy/dx. $$\sqrt{x}+\sqrt{y}=1$$

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

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