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If y=ax^(n+1)+bx^(-n)," then "x^(2)(d^(2...

If `y=ax^(n+1)+bx^(-n)," then "x^(2)(d^(2)y)/(dx^(2))` is equal to

A

n(n-1) y

B

n(n+1)y

C

ny

D

`n^(2)y`

Text Solution

Verified by Experts

`y=ax^(n+1)+bx^(-n)`
`"or "(dy)/(dx)=(n+1)ax^(n)-nbx^(-n-1)`
`"or "(d^(2)y)/(dx^(2))=n(n+1)ax^(n-1)+n(n+1)bx^(-n-2)`
`"or "x^(2)(d^(2)y)/(dx^(2))=n(n+1)y`
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