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Differential co-e efficient of sec(tan^(...

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

A

`(x)/(sqrt(1+x^(2)))`

B

`(1)/(sqrt(1+x^(2)))`

C

`xsqrt(1+x^(2))`

D

`(x)/(1+x^(2))`

लिखित उत्तर

Verified by Experts

The correct Answer is:
A
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KC SINHA-अवकलन -OBJECTIVE QUESTIONS
  1. यदि y=xtany, तो (dy)/(dx)=

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  2. यदि f(x)=4x^(8), तो

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

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

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

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

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

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

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

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

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

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

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

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

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  15. यदि y=tan^(-1)sqrt((1+cosx)/(1-cosx)), तब (dy)/(dx)=

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  16. यदिy^(2)=ae^(-2x)+(2)/(5)(cosx-2sinx), तो y(dy)/(dx)+y^(2)+sinx=

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  17. The derivative of sec^(-1)((1)/(2x^(2)-1)) with respect to sqrt(1-x^(2...

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  18. If f(x)=tan^(-1)(sqrt((1+sinx)/(1-sinx))),0lexlt(pi)/(2), then f'((pi)...

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  19. यदि y^(x)*y^(2)=1, तब (dy)/(dx)=

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  20. यदि x=a(costheta+thetasintheta),y=a(sintheta-thetacostheta) तब(dy)/(...

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