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If x = log p and y=(1)/(p), then...

If x = log p and `y=(1)/(p),` then

A

`(d^(2)y)/(dx^(2))-2p=0`

B

`(d^(2)y)/(dx^(2))+y=0`

C

`(d^(2)y)/(dx^(2))+(dy)/(dx)=0`

D

`(d^(2)y)/(dx^(2))-(dy)/(dx)=0`

Text Solution

Verified by Experts

`(dy)/(dx)=(-(1)/(p^(2)))/((1)/p)=-(1)/(p)=-y`
`"or "(d^(2)y)/(dx^(2))=-(dy)/(dx)`
`"or "(d^(2)y)/(dx^(2))+(dy)/(dx)=0`
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CENGAGE-DIFFERENTIATION-Exercise (Single)
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  7. If y=sinx+e^x ,t h e n(d^(2x))/(dy^2)= (-sinx+e^x)^(-1) (sinx-e^x)/(...

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  8. If f^(x)=-f(x)a n dg(x)=f^(prime)(x)a n d F(x)=(f(x/2))^2+(g(x/2))^2 ...

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  12. If x = log p and y=(1)/(p), then

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  13. If x=varphi(t), y=psi(t),t h e n(d^(2y))/(dx^2) is (varphi^(prime)psi^...

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  17. Let y=f(x) and x=(1)/(z)." If "(d^(2)y)/(dx^(2))=lamda(z^(3))(dy)/(dz)...

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  18. Let x = f(t) and y = g(t), where x and y are twice differentiable func...

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