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Mathematics 24 Online
OpenStudy (anonymous):

Ppl :] .. Can you Plz Check My AnsWer (∩_∩)

OpenStudy (anonymous):

The Question IS >> FinD the tangent line of \[y ^{2} + xe ^{y} = 4- x \] at (2,0)

OpenStudy (anonymous):

First differentiate the given equation to find dy/dx Then use slope-point equation of a line

OpenStudy (anonymous):

And i Got htis answer >>\[y=\frac{ (-1-e ^{y}) (x-2) }{2y+e ^{y} }\] >_> '

OpenStudy (anonymous):

\[y \prime =\frac{ -1-e ^{y} }{ 2y+e ^{y} }\]

OpenStudy (anonymous):

In the denominator, its 2y + x(e^y)

OpenStudy (anonymous):

aha .. :l

OpenStudy (anonymous):

So, that is the slope... Now find the equation of line

hartnn (hartnn):

u know, you don't actually 'have to' find and isolate y' for this...

OpenStudy (anonymous):

i did .. i found the equation for the tangent line =.=

OpenStudy (anonymous):

|dw:1349825181883:dw|

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