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find an equation of the tangent line to the curve y= e ^x / 1+x^2 at the point(1, e/2)

find an equation of the tangent line to the curve y= e ^x / 1+x^2 at the point(1, e/2)

Grade:12th pass

1 Answers

Ravneet
104 Points
5 years ago
step 1 ; find dy/dx . you can apply the quotient rule 
                    RESULT ;  ex(1-x)2/(1+x2)2
step 2; as we have to find equation of the tangent at a particular point, so just put that point in dy/dx 
                    RESULT ; dy/dx = 0
step 3 : use point-slope form of straight line wher m = 0 
                      so answer  y = 1/e

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