The right hand derivative of f(x)=[x]t a...

The right hand derivative of `f(x)=[x]t a npix a tx=7` is (where [.] denotes the greatest integer function) `0` b. `7pi` c. `-7pi` d. none of these

A

0

B

`7pi`

C

`-7pi`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:

B

`f'(7^(+))=underset(hrarr0)(lim)(f(7+h)-f(7))/(h)`
`=underset(hrarr0)(lim)([7+h]tan pi(7+h)-[7]tan 7pi)/(h)`
`=underset(hrarr0)(lim)(7 tan pi(7+h))/(h)`
`=7pi underset(hrarr0)(lim)(tanpi h)/(pih)`
`=7pi`

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