`f(x) = 1/x` का अवकलज ज्ञात कीजिए ।

Explanation

` :' f'(x) lim _( h to 0 ) (f( x+h)-f(x))/h`
` = lim _( h to 0 ) (1/(x+h)-1/x)/h`
` = lim _( h to 0 ) 1/h[(x-x-h)/(x(x+h))]`
` lim _( h to 0) xx (-h)/(x(x+h))`
` = lim _( h to 0) (-1)/(x(x +h)) = (-1)/(x^(2))`