💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!
Get the answer to your homework problem.
Try Numerade free for 7 days
Like
Report
Find the linearization $L(x)$ of the function at $a$$f(x)=x^{4}+3 x^{2}, \quad a=-1$
$L(x)=4+(-2)(x-a)=4-10(x+1)=-10 x-6$
Calculus 1 / AB
Chapter 3
Derivatives
Section 8
Linear Approximations and Taylor Polynomials
Missouri State University
Oregon State University
Idaho State University
Boston College
Lectures
03:09
In mathematics, precalculu…
31:55
In mathematics, a function…
00:57
Find the linearization $L(…
00:41
Find the linearization $ L…
02:32
01:56
00:50
02:09
00:33
01:44
01:31
01:16
01:34
00:31
01:24
03:28
The linearization of $2^{x…
02:03
02:08
01:48
In Exercises $1-4,$ find t…
03:01
10:39
Find the linearization of<…
this question asked us to find the linear or ization of the function. What we know we have is X to the fourth plus three x squared. We know that a is negative one. Therefore, plug in negative one for axe and we get four now. Take the derivative of X to the fourth poster X squared for X cubed, plus three times to a sex acts and then do the same thing four times Negative one cubed post, six times negative one. We're plugging in excess negative one. We got negative 10. So the linear or ization is going to be all of acts is four plus negative, too. Times X minus A, which is equivalent to negative 10 x minus six.
View More Answers From This Book
Find Another Textbook
In mathematics, precalculus is the study of functions (as opposed to calculu…
In mathematics, a function (or map) f from a set X to a set Y is a rule whic…
Find the linearization $L(x)$ of the function at $a$$$f(x)=x^{4}+3 x^{2}…
Find the linearization $ L(x) $ of the function at $ a. $$ f(x) = x^3 - …
Find the linearization $L(x)$ of $f(x)$ at $x=a.$$f(x)=x^{3}-2 x+3, \qua…
Find the linearization $L(x)$ of $f(x)$ at $x=a$$$f(x)=x^{3}-2 x+3, a=2$…
Find the linearization $L(x)$ of the function at $a$.$f(x)=x^{3 / 4}, \q…
Find the linearization $L(x)$ of the function at $a$$$f(x)=x^{3 / 4}, \q…
Find the linearization $ L(x) $ of the function at $ a. $$ f(x) = 2^x, …
Find the linearization $L(x)$ of $f(x)$ at $x=a.$$f(x)=x+\frac{1}{x}, \q…
Find the linearization $L(x)$ of $f(x)$ at $x=a$$$f(x)=x+\frac{1}{x} \qu…
Find the linearization $L(x)$ of the function at $a$.$f(x)=\ln x, \quad …
Find the linearization $L(x, y)$ of the function at each point.$f(x, y)=…
Find the linearization $ L(x) $ of the function at $ a. $$ f(x) = \sqrt …
Find the linearization $L(x)$ of the function at $a$$$f(x)=\sqrt{x}, \qu…
The linearization of $2^{x}$\begin{equation}\begin{array}{l}{\text {…
Find the linearization $L(x)$ of $f(x)$ at $x=a.$$f(x)=\sqrt{x^{2}+9}, \…
Find the linearization $L(x)$ of $f(x)$ at $x=a$$$f(x)=\sqrt{x^{2}+9}, \…
In Exercises $1-4,$ find the linearization $L(x)$ of $f(x)$ at $x=a$ $$<…
Find the linearization $L(x, y)$ of the function at each point.$$f(x…
Find the linearization of$$g(x)=3+\int_{1}^{x^{2}} \sec (t-1) d t
03:06
$$\lim _{t \rightarrow 0} \frac{\sin ^{2} 3 t}{t^{2}}$$
04:16
$32-34$(a) Use the definition of the derivative to calculate $f^{\prime}…
02:42
Find the derivative of the function.$y=2^{3^{x^{2}}}$
04:32
Find the limit. Use l'Hospital's Rule where appropriate. If there …
03:33
Find the derivative of the function using the definition of a derivative. St…
If $$F(x)=f(g(x)), where f(-2)=8, f^{\prime}(-2)=4,$$ $$f^{\prime}(5)=3,…
00:55
Differentiate the function. $$y=\ln \left(e^{-x}+x e^{-x}\right)$$
$43-46$ Find the first and second derivatives of the function.$f(x)=x^{4…
07:36
$\begin{array}{l}{\text { Suppose that } f(2)=-3, g(2)=4, f^{\prime}(2)=-2, …
