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Find an equation of the tangent line to the graph of the function at the given point.

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Find an equation of the tangent line to the graph of the function at the given point.

x e^y + y e^x = 1,      (0, 1)
asked Jan 31, 2015 in CALCULUS by anonymous

1 Answer

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Step 1 : 

The equation is and the point is .

The slope of the tangent line is equal to the derivative of the function at .

Apply derivative on each side with respect to x

Step 2 :

Slope at the point :

Substitute  in  

The point-slope form of line equation is .

Substitute the point and slope in the above equation.

The tangent line equation is    

Solution : 

The tangent line equation is

answered Jan 31, 2015 by Thomas Apprentice
edited Jan 31, 2015 by Thomas

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