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For the curve y = 4x^3 - 2x^5, find all those points at which the tangent passes through the origin.

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For the curve y = 4x3 - 2x5, find all those points at which the tangent passes through the origin.

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y = 4x3 - 2x5 

From eq. (i) and eqn. (ii),

= -2

So, required points : (0,0), (1,2) and (- 1, - 2)

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