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If y=a x^(n+1)+b x^(-n),t h e nx^2(d^2y)...

If `y=a x^(n+1)+b x^(-n),t h e nx^2(d^2y)/(dx^2)` is equal to `n(n-1)y` (b) `n(n+1)y` `n y` (d) `n^2y`

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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CENGAGE-DIFFERENTIATION-Exercise (Single)
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  3. If y=a x^(n+1)+b x^(-n),t h e nx^2(d^2y)/(dx^2) is equal to n(n-1)y (b...

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  4. If y=a x^(n+1)+b x^(-n),t h e nx^2(d^2y)/(dx^2) is equal to n(n-1)y (b...

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  13. A function f satisfies the condition f(x)=f^(prime)(x)+f^(x)+f^(x) ,w ...

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  14. Let f(x) be a polynomial of degree 3 such that f(3)=1,f^(prime)(3)=-1,...

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  17. If y= sin px and y(n) is the n^(th) derivative of y, then |{:(y,y(1)...

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