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(e^(x))/(logx) का अवकल गुणांक x के सा...

`(e^(x))/(logx)` का अवकल गुणांक x के सापेक्ष निकालें ।

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माना कि `y=(e^(x))/(logx)`
अब , `(dy)/(dx)=(d)/(dx)((e^(x))/(logx))=(logx*(d)/(dx)(e^(x))-e^(x)*(d)/(dx)(logx))/((logx)^(2))`
`=(logx*e^(x)-e^(x)*(1)/(x))/((logx)^(2))=(xe^(x)logx-e^(x))/(x(logx)^(2))=(e^(x)(xlogx-1))/(x(logx)^(2))`
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KC SINHA-अवकलन -OBJECTIVE QUESTIONS
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  2. यदि y=log{log(logx)}, तब (dy)/(dx)=

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  3. यदि y=e^(x+e^(x+e^(x+...oo)) तब (dy)/(dx)=

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  4. यदिxsqrt(1+y)+sqrt(1+x)=0, (dy)/(dx) =

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  5. If y=sqrt(sinxsqrt(sinx+sqrt(sinx+.."to"infty))),then (dy)/(dx) , is ...

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  6. यदि x^(2) + y^(2) = 1 तब

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  7. यदि f(x)=cot^(-1)((x^(x)-x^(-x))/(2)) , then f'(1)=

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  8. यदि y=xtany, तो (dy)/(dx)=

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  9. यदि f(x)=4x^(8), तो

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  10. Differential co-e efficient of sec(tan^(-1)x) is

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  11. The differential co- efficient of e^(x^(3)) with respect to log x is

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  12. यदि x=acos^(4)theta,y=asin^(4)theta तो (dy)/(dx)है? यदि theta=(3pi)/...

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  13. If siny+e^(-xcosy)=e, then (dy)/(dx), at (1,pi) is

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  14. d/(dx)(a^(x)-x^(x))=

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  15. (d)/(dx)(3^(x)+10^(3x-1))=

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  16. If y="sin"^(-1)(2x)/(1+x^(2)),0ltxlt1and0ltylt(pi)/(2), then (dy)/(dx)...

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  17. यदि x^(y)=e^(x-y), तब (dy)/(dx)=

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  18. (d)/(dx)[logsqrt((1-cosx)/(1+cosx)) equals

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  19. If y="sin"^(-1)(2x)/(1+x^(2)),0ltxlt1and0ltylt(pi)/(2), then (dy)/(dx)...

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  20. यदि siny=xsin(a+y) तब (dy)/(dx) =

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  21. निम्नलिखित फलनों का x के सापेक्ष अवकलन कीजिए : sec^(-1).(x^(2)+1)/(x...

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