SOLUTION: Find the equation of the tangent to the curve y= e^x +x which is perpendicular to the line 4y+x=0

SOLUTION: Find the equation of the tangent to the curve y= e^x +x which is perpendicular to the line 4y+x=0

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Question 876638: Find the equation of the tangent to the curve y= e^x +x which is perpendicular to the line 4y+x=0
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Perpendicular lines have slopes that are negative reciprocals.

So then the slope of the perpendicular line is,

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.
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THe value of the slope of the tangent line is the value of the derivative at a point.

So then,

So the equation of the line is,

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.
.

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