Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

(a) Use implicit differentiation to find $ y' $ if$ x^2 + xy + y^2 + 1 = 0 $(b) Plot the curve in part (a). What do you see? Prove that what you see is correct.(c) In view of part (b), what can you say about the expression for $ y' $ that you found in part (a)?

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

(a) $$\frac{-2 x-y}{x+2 y}$$(b) SEE EXPLANATION

00:31

Frank Lin

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 5

Implicit Differentiation

Derivatives

Differentiation

Campbell University

Idaho State University

Boston College

Lectures

04:40

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.

44:57

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.

02:12

(a) Use implicit different…

09:05

(a) Find $y^{\prime}$ by i…

02:43

(a) Find $ y' $ by im…

09:31

03:46

08:24

02:22

in this problem, we're given a question and west to oversee the transition to find to goto y prime Celester Dallas and all the eggs we have two x plus. We're going to use for a cool for the second term. Intellect inside. Why was ex envoy prime was to I 10 wife? I'm here. The firmness we see that then one prime zero negative off two experts. Why you gotta buy explosives to what in party Were esta graft this occur? Well, let's first right. This one s we push Know that experts Woolen scrag physique of expert plus y spirit for to exploit But did they give any question we have ex script was voiced plus x y So let's write this Give any questions as one How off exports y squared plus expert over to was wise heard over too All right, experts Weiss crisis That is a square We know that this will be always wanted. Ex credibility against the squared is always depositor This always off to But any given in question we are recorded that to be a negative one Since all the terms are often this can never be negative. So that's why when you try to What? This curve, nothing appears. So we can say that this is impossible. Uh, it is always What's it to you? So it means that it can be negative on so important. See, since there is no such girl, you're such a girl. Ah, since there is no such girl there no points that would satisfy the wipe from that that we could be too. So we can't calculate we cannot cut black Derek off dysfunction white.

View More Answers From This Book

Find Another Textbook

Numerade Educator

01:29

'A cylindrical can is used to fill a fish tank The fish tank is rectang…

01:13

'Given right triangle ABC with altitude BD drawn to hypotenuse AC. If A…

01:46

'Find the Volume of the figure below:19 yd15.2 yd16 yd4…

01:15

'Find the Volume of the following figure:6.5 cm0 286.049 57…

03:11

'III Using the given postulate, tell which parts of the pair of triang…

03:45

'eccdtoiUse the information below to answer the following question …

03:42

"A company is preparing the production budget for the second quarter Pr…

00:32

'CH 2 KB_ Which are the three product costs that are added to work in p…

01:45

"company decides to begin making and selling computers. The price funct…

01:16

'2GM The escape velocity from planct of radius R is "(R) = R where…