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If : f(x)=(sin^(2)x)/(1+cotx)+(cos^(2)x)...

If : `f(x)=(sin^(2)x)/(1+cotx)+(cos^(2)x)/(1+tanx)," then: "f'((pi)/(4))=`

A

`sqrt3`

B

`1/sqrt3`

C

0

D

`-sqrt3`

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Verified by Experts

The correct Answer is:
C
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TARGET PUBLICATION-DIFFERENTIATION -COMPETITIVE THINKING
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  2. If f(x)=sqrt(1+cos^2(x^2)),thenf'(sqrtpi/2) is

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  3. If : f(x)=(sin^(2)x)/(1+cotx)+(cos^(2)x)/(1+tanx)," then: "f'((pi)/(4)...

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  4. d/(dx)tan^-1((1-x)/(1+x))=

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  5. If y =tan ^(-1) ((sqrt( a) -sqrt(x)) /( 1+sqrt( ax)) ) ,then (dy)/(dx)...

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  6. If y=tan^(-1)[(sinx-cosx)/(cosx-sinx)] then (dy)/(dx) is

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  7. If y= tan ^(-1) ((acos x -bsin x )/( bcos x+asin x ) ) ,then (dy)/(dx...

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  8. यदि y= sec tan ^(-1) x, तब (dy)/(dx) =

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  9. the derivative of tan^-1 (6xsqrtx)/(1-9x^3) is sqrtx g(x) then g(x) is...

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  10. If y= e^(m sin ^(-1)) x and (1-x^(2))((dy)/(dx))^(2)= Ay^(2). then ...

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  11. If y=sin^(-1)[x(1-x)-sqrtxsqrt(1-x^(2))], find (dy)/(dx),

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  12. Find (dy)/(dx) when(y-tan^(- 1))x/(1+sqrt(1-x^2))+sin[2tan^(- 1)sqrt((...

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  13. If f(x)=cot^(-1)((x^(x)-x^(-x))/(2)) then f'(1) equals

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  14. What is the derivative of tan^(-1)((sqrtx-x)/(1+x^(3//2))) at x = 1?

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  15. If y=(tan^- 1)(sqrt(1+x^2)-1)/x, then y'(1) is equal to

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  16. If y=(1+1/x)^x,then(dy)/(dx)=

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  17. If y=(sinx)^(tanx),then(dy)/(dx) is equal to

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  18. If y=(e^(2x)cosx)/(x sinx),then(dy)/(dx)=

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  19. If y={f(x)}^(phi(x)),"then"(dy)/(dx) is

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  20. If y=x^((logx)^(log(logx))), then (dy)/(dx) is

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