If $y = x - {x^2}$, then the derivatives of ${y^2}$ w.r.t.${x^2}$

JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Application +4 | -1

y = x - {x^2}

, then the derivatives of

{y^2}

w.r.t.

{x^2}

View answer and explanation

Correct option: B

2{x^2} - 3x + 1

Option B (

2{x^2} - 3x + 1

) is correct because it represents the derivative of

y^2

with respect to

x^2

, calculated using the chain rule and the given relationship

y = x - x^2

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