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# Use implicit differentiation to find an equation of the tangent line to the curve at the given point.$x^{\frac {2}{3}} + y^{\frac {2}{3}} = (-3 \sqrt{3}, 1),$ (astroid)

## $y=\frac{1}{\sqrt{3}} x+4$

Derivatives

Differentiation

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### Video Transcript

in this problem. Where is to use a Pacific appreciation by any question of friends? Like to give anchor at this, Given full in native free spirit. Every one we know that the question of attention leading with your off woman this one up physical today with help, dysfunction It would like that given points. But if I explain it to fix, Not so in order to find the question, don't be personally. Do you find narrative? It will in that this given point. All right, let's like narrative off this function which respect experts. We have the third Xnegative all heard. Um Waas Georgie. Why make 1/3 time's what fun is equal to zero. So from this we see that boy prime is the negative X over one power negative one third. Um, since you know what extent of one that is, we can talk quite derivative at a given point, So that'll be decorative, like that given point, then be negative. Both excess three screwed it all three so that it's negative. Three square root of B trump stated to 13 That is a good do Skirted off free cube to the power Negative 1/3 and that is equal to one over skirt redone. Since now we know there were two of a given point we can't find personal. This line that'll be y minus one physical horn or skirt three. Thanks. Waas three skirt agree. And from this we dance on the question to be square root of X sort, we find the creation to be won over Spirito T x one or skirt of the X Plus four.

#### Topics

Derivatives

Differentiation

##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

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