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Find the second order derivatives of the...

Find the second order derivatives of the functions given.
`log x`

Text Solution

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Let `y=log x`

Differentiating w.r.t. x

`(dy)/(dx)=(d(logx))/dx`

`(dy)/(dx)=1/x`

Again Differentiating w.r.t. x

`d/dx((dy)/(dx))=d/dx(1/x)`

`(d^2y)/(dx^2)=(d(x^-1))/dx`

`(d^2y)/(dx^2)=-1 .x^(-1-1)`

`(d^2y)/(dx^2)=- x^(-2)`

`(d^2y)/(dx^2)=- 1/x^(2)`
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