if y=xe^x then prove that 1/y dy/dx= 1+1/x prove it prove it plzz plzz plzzz

Question

Arun · Answer

y = x e^x Differentiating both the sides with reapect to x dy/dx = x e^x + e^x dy/dx = e^x (x+1) In the RHS mutliply and divide by x Hence dy/dx = [x e^x (x+1)]/ x But x e^x = y Hence dy/dx = y[1 +(1/x)] 1/y dy/dx = 1 +(1/x)

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if y=xe^x then prove that 1/y dy/dx= 1+1/x prove it prove it plzz plzz plzzz

if y=xe^x then prove that 1/y dy/dx= 1+1/x prove it prove it plzz plzz plzzz

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