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JEE MATHEMATICS MCQ: DIFFERENTIATION

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If x=2at1+t3x = \frac{{2at}}{{1 + {t^3}}} and y=2at2(1+t3)2y = \frac{{2a{t^2}}}{{{{\left( {1 + {t^3}} \right)}^2}}}, then dydx\frac{{dy}}{{dx}} is
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Correct option: C
xa\frac{x}{a}
The correct answer is C (xa\frac{x}{a}) because the relationship between x and y allows for a direct substitution and differentiation.

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