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