If the tangent to the curve, y = f x = x log e x , x 0 at a point c , f c is parallel to the line-segment joining the points 1 , 0 and e , e ,then c is equal to :

Question

If the tangent to the curve, y = f x = x log e x , x > 0 at a point c , f c is parallel to the line-segment joining the points 1 , 0 and e , e ,then c is equal to :, e - 1 e, e 1 e - 1, e 1 1 - e, 1 e - 1

MARKS App · Accepted Answer

f ' c = 1 + l n c = e e - 1 l n c = 1 e - 1 c = e 1 e - 1

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