निम्नलिखित फलन का अवकलन गुणांक ज्ञात कीजिएः
`(lx^(4)+mx^(3)+nx^(2)+px+q)/(sqrtx)`

Explanation

माना `y=(lx^(4)+mx^(3)+nx^(2)+px+q)/(sqrtx)`
`=(lx^(4))/(x^(1//2))+(mx^3)/(x^(1//2))+(nx^(2))/(x^(1//2))+(px)/(x^(1//2))+(q)/(x^(1//2))`
`=lx^(7//2)+mx^(5//2)+nx^(3//2)+px^(1//2)+qx^(-1//2)`
`therefore (dy)/(dx)=l d/dx(x^(7//2))+m d/dx(x^(5//2))+nd/dx(x^(3//2))+p(d)/(dx))^(1//2)+q(-(1)/(2))x^(-3//2)`
`=(7)/(2)lx^(5//2)+(5)/(2)mx^(3//2)+(3)/(2)nx^(1//2)+(p)/(2sqrtx)-(q)/(2xsqrtx)`