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$A point is moving along the cubical parabola 12 y = x^{3} . The rate of ordinate is less than the rate of abscissa when$

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x<−2 or x>2

x=±2

−2

x=±4

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detailed solution

Correct option is C

12y=x3⇒12dydt=3.x2⋅dxdt⇒4⋅dydt=x2⋅dxdt given dydtx2, x2<4, x∈(−2,2)

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A point is moving along the cubical parabola 12y=x3. The rate of ordinate is less than the rate of abscissa when

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$A point is moving along the cubical parabola 12 y = x^{3} . The rate of ordinate is less than the rate of abscissa when$