` f(x) = x^(2)` का अवकलज ज्ञात कीजिए ।

Explanation

` :' f'(x) = lim_( h to 0 ) (f(x+h)-f(x))/h`
` = lim _( h to 0) ((x+h)^(2)-x^(2))/h`
` = lim _( h to 0 ) (x^(2)+h^(2)+2xh-x^(2))/h`
` = lim _( h to 0 ) (h(h+2x))/h= lim _( h to 0) (h + 2x)`
`=2x`.