Question

x = 10 पर x² – 2 का अवकलज ज्ञात कीजिए।

Answer 1

= `lim_(h → 0)(f(a + h) - f(a))/h`

∴ x = 10 पर x² − 2 का अवकलज

= `lim_(h → 0) ([(10 + h)^2 - 2]- (10^2 - 2))/h`

= `lim_(h → 0) (100 + 20h + h^2 - 2 - 100 + 2)/h`

= `lim_(h → 0) (20h + h^2)/h`

= `lim_(h → 0) (20 + h)`

= 20