JEE MATHEMATICS MCQ: DIFFERENTIATION

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Analyzing +4 | -1

{y^2} = P\left( x \right)

is a polynomial of degree 3, then

2\frac{d}{{dx}}\left[ {{y^3}\frac{{{d^2}y}}{{d{x^2}}}} \right]

equals

View answer and explanation

Correct option: C

P\left( x \right).P'''\left( x \right)

Option C (

P\left( x \right).P'''\left( x \right)

) is correct because after performing the differentiation and simplification, the expression reduces to this form.

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