Difference between revisions of "009A Sample Final 2, Problem 4"

Revision as of 16:50, 7 March 2017

Use implicit differentiation to find an equation of the tangent line to the curve at the given point.

3x^{2}+xy+y^{2}=5

at the point

(1,-2)

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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 |}