निम्न का x के सापेक्ष अवकलन करें
(i) `x^(3)` (ii) `sqrt(x)` (iii) `ax^(2)+bx+c`

Explanation

(i) `d/(dx)(x^(3))=3x^(2)`
(ii) `d/(dx)(x)^(1//2)=1/2(x)^(1/2-1)=1/2(x)^(-1//2)=1/(2sqrt(x))`
(iii) `d/(dx)(ax^(2)+bx+c)=ad/(dx) (x^(2))+bd/(dx)+bd/(dx) +d/(dx)(c)=2ax+b`
(iv) `d/(dx) (2x^(3)-e^(x))=2 d/(dx)(x^(3))=d/(dx) (e^(x))=6x^(2)-e^(x)`
(v) `d/(dx)(6log_(e)x-sqrt(x)-7)=6 d/(dx)(log_(e)x)-d/(dx)(x^(1//2))-d/(dx)(7)`
`=6/x=1/(2sqrt(x))`