Download the App!

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

Use implicit differentiation to find an equation of the tangent line to the curve at the given point.$ x^2 - xy - y^2 = 1, (2, 1) $ (hyperbola)

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

$$y-1=\frac{3}{4}(x-2), \text { or } y=\frac{3}{4} x-\frac{1}{2}$$

00:55

Frank Lin

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 5

Implicit Differentiation

Derivatives

Differentiation

Oregon State University

Harvey Mudd College

Baylor University

Idaho State University

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.

06:23

Use implicit differentiati…

01:21

01:37

01:28

05:00

Find an equation of the li…

09:41

theme this trouble has to use in the position to find the crystal from land that's given point to one's to Mr. We know that the question of friends of mine will be off for one one's enough times. They were dropped this fortune, every checkpoint extract times explains X note where one is, Why not? And two. That's not so. Let's buying Derek first, let's do a take derivative off all the terms. With respect, X B have two x minus second term on the left. Inside. We're going for a rule we have. Why was X times? Why prime minus two. Why? Why prime is zero from this, uh, be plucked given points. And we can like this one as or minus one plus two y prime minus two y prime is equal to zero. Promise. We see that the four white crime should be pay. And why prime physical Buble or all right, since nobody have why problem your leg up given point, We are ready to applying everything we know. And so we have y minus on music three or four times explains to from this time we see that the congressional pension line is up on three X over four four minus one. Hello

View More Answers From This Book

Find Another Textbook

03:14

01 Suppose N(t) is a Poisson process with rate 3. Let Tn denote the time of …

01:30

A binomial random variable has n = 10 and p =0.4 What is the probability of …

03:31

Suppose R is the shaded region in the figure, and f(x,y) is continuous funct…

03:53

Compute the value of the test statistic for the indicated test; based on the…

07:20

Determine whether the series is convergent or divergent:1 + 7n 8n n = 1<…

02:18

An airliner carries 250 passengers and has doors with height of 75 in. Heigh…

03:28

1. Use the Ratio Test to determine if the following series converges absolut…

05:29

11 , Does the following series converge or diverge? Give reasons for your an…

03:46

Slope Fields In Exercises 49_52, sketch a few solutions of the differential …

01:58

22. v" (x) = xeX