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Determine the equation of the tangent line at the indicated $x$ -coordinate.58. $f(x)=2 x \ln x x=1$.$$f(x)=e^{-2 x}(\ln x+4) x=1$$

$$y=e^{-2}(-7 x+11)$$

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 5

Logarithmic Functions

Oregon State University

Baylor University

University of Michigan - Ann Arbor

Lectures

01:49

Determine the equation of …

02:33

02:59

Find an equation of the ta…

02:12

Find the equation of the l…

01:52

04:14

01:55

00:43

03:00

01:33

01:11

Hello. They have to find out 10 years. Nine on the car for the car by equals to the power of minus two. X Ellen X plus four l M X plus four and explanation doing one. So why will we close to for and be the manuscripts? Okay, this is the point. So first, we will title calculate the slope of that in the night that was given to the extent going fund so fast we'll calculate divisive ideas because to eat with the manners of two, it was about minus two x Ln X plus four plus mhm. Yeah. And into the power minus two x y X plus zero. So the slow of canyon. Yeah, yeah, Let's go. Okay. Yeah. And will be delivered to you at the given point. One from four to the government has to It will be first to monitor each department is to four. Uh huh. Let's keep the department store. Of course it will, because it departments to one minus eight. That is because too, um, records to minus of seven to the power minus two. Okay, this is the slow. Yeah. So we can buy the equation of the tenure land equation of talk about something that can yank at point of one comma. Four. It will be prominence to in the slope and me because two miles or 7 85 minutes to do that is by minus 51 It goes to M Xmas extra. Okay, survive when Azerbaijan is given or Italy to have managed to, and with minus of seven you think they were managed to X minus that one as well. So we can divide by minus four into departments. To it is request to minus of seven. It was about my story x Last seven. You took the power managed to yeah, by close to minus of seven, into departments to x 11 into departments to okay so we can die by Quest into the government is too minus of seven X plus 11. So it is the the question of the 10 year land at the given point. Bikers into departments group pregnant, minus seven X plus 11. I hope. Do you understand? Thank you

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