The tangent to the curve, y = x e x 2 passing through the point 1 , e also passes through the point:

Question

The tangent to the curve, y = x e x 2 passing through the point 1 , e also passes through the point:, 4 3 , 2 e, 2 , 3 e, 5 3 , 2 e, 3 , 6 e

MARKS App · Accepted Answer

Given y = x e x 2 ⇒ d y d x = 2 x 2 e x 2 + e x 2 ⇒ d y d x at 1 , e = 3 e ⇒ Equation of tangent is y - e = 3 e x - 1 , which passes through 4 3 , 2 e .

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