Difference between revisions of "009A Sample Final 3, Problem 5"

Revision as of 11:51, 6 March 2017

Calculate the equation of the tangent line to the curve defined by $x^{3}+y^{3}=2xy$ at the point, $(1,1).$

Foundations:
The equation of the tangent line to $f(x)$ at the point $(a,b)$ is
$y=m(x-a)+b$ where $m=f'(a).$

Solution:

Step 2:

Final Answer:

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+|The equation of the tangent line to &nbsp;<math style="vertical-align: -5px">f(x)</math>&nbsp; at the point &nbsp;<math style="vertical-align: -5px">(a,b)</math>&nbsp; is
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+|&nbsp; &nbsp; &nbsp; &nbsp; <math style="vertical-align: -5px">y=m(x-a)+b</math>&nbsp; where &nbsp;<math style="vertical-align: -5px">m=f'(a).</math>
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