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# (a) The curve with equation $y^2 = 5x^4 - x^2$ is called a kampyle of Eudoxus. Find an equation of the tangent line to this curve at the point (1, 2).(b) Illustrate part (a) by graphing the curve and the tangent line on a common screen. (If your graphing device will graph implicitly defined curves, then use that capability. If not. you can still graph this curve by graphing its upper and lower halves separately.)

## a. $y=\frac{9}{2} x-\frac{5}{2}$b.

Derivatives

Differentiation

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##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

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### Video Transcript

in this problem we're giving occur, we asked find in part a question of tension. Line that point on to park your ass to put on the same ground function itself and the Derek Hough function. So we notice Angela will be a a y minus point physical too Derivative would have given point Exxon book, but by explains Excellent. So let's find a veritable fortune. First, let's take their two about science. We have to Wai Wai Point is equal to 20 x Cube lives too. Thanks. Um, we know ex nada wanna That is given so we can find What? Um, you elect a given point. Let's plug be given values And so we have four times work on music 20 wants to and that is 18 for Mystery can see that why pun will be nine over too. All right, It's why I promise nine over to it is this time we can't find the questioner. Time line s why minds to physical nine or two explains one. Promised on the question is nine x or two minus by old too. Now, in part B, you can use any old one much order or even your calculators um, this is what or how they function. Looks like this is our function self one. And here's our points. So warm, too. That is why Axis and none of the X axis. And this is the director off this function for firm, and that is the attention for its right here.

#### Topics

Derivatives

Differentiation

##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

Lectures

Join Bootcamp