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Problem

If $ f(x) + x^2[f(x)]^3 = 10 $ and $ f(1) = 2, $ …

01:29

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Problem 20 Medium Difficulty

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


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00:24

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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Catherine Ross

Missouri State University

Kayleah Tsai

Harvey Mudd College

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University of Michigan - Ann Arbor

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.

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Watch More Solved Questions in Chapter 3

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Problem 11
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Problem 15
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Problem 20
Problem 21
Problem 21
Problem 22
Problem 23
Problem 24
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Problem 26
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Problem 30
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Problem 32
Problem 33
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Problem 40
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Problem 46
Problem 47
Problem 48
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Problem 51
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Problem 80

Video Transcript

he was probably given any questions, were asked to use the transition to find. So we were left inside list. They did your old expect Why tensions as C e con squared off? Explain this boy. What's led by their took intervention. Soviets off Ex wants what? That is equal to pour the German Reich and start working its portion full. So we have D Y The X Times one plus expert R minus Y times two x You wanted by there in the term in denominator sport. All right, Uh, now let's group all the terms What the wind, e x or one side. But before that, let's write this form as one bus expert screwed the basic levels. Playing both sides by one Phyllis Experts Bird, We have waffles experts. Group C comes for excellence. Boy waas uh or actually minus warm plus x squared squared C cunt scrag experts Why times b y the x s equal to be why the eggs four plus expert minors to a war. So what I did here is to take their 12 this So take whoever 12 eggs and take off negative boy and most by boat that so I only got within to terms on the left hand side. All right, now let's group all the terms with De Vie V Excellent outside. So you have your years warm plus experience. Plus, uh, we have Well, that should be Yeah, we have worthless ex great plus warn plus X worried spread. See Guns spread explained swat that is equal to warm plus eight square spur sequins Heard experience for plus two hates war. So from this, then we see that little boy Suspect X is equal to one plus expert squared times Setem create of ex wants War was to explore you wanted by one plus next grade was one expert squared, multiplied, five sequence, spirit of excellence. Uh

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Calculus: Early Transcendentals

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Related Topics

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Top Calculus 1 / AB Educators
Grace He

Numerade Educator

Catherine Ross

Missouri State University

Kayleah Tsai

Harvey Mudd College

Kristen Karbon

University of Michigan - Ann Arbor

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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