If $y=a x^{n+1}+b x^{-n}$, then $x^2 \frac{d^2 y}{d x^2}=$

JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

y=a x^{n+1}+b x^{-n}

, then

x^2 \frac{d^2 y}{d x^2}=

View answer and explanation

Correct option: B

n(n+1) y

Option B (

n(n+1) y

) is correct because it is the result of calculating the second derivative of

y=a x^{n+1}+b x^{-n}

and then multiplying by

x^2

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