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If y=tan^(-1)((sinx+cosx)/(cosx-sinx)),"...

If `y=tan^(-1)((sinx+cosx)/(cosx-sinx))," then "(dy)/(dx)" at "x=(pi)/(4)`

A

`(1)/(2)`

B

0

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
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MARVEL PUBLICATION-DIFFERENTIATION-MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 11)
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  4. If y=x^(2)+1" and "u=sqrt(1+x^(2))," then: "(dy)/(dx)=

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  8. If cos x =1/sqrt(1+t^(2)), and sin y = t/sqrt(1+t^(2)), then (dy)/(dx)...

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  10. If y=(e^(4logx)-e^(3logx))/(e^(2logx)-e^(logx))," then: "(dy)/(dx)=

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  12. d/(dx)[sin^(- 1)(x-(4x^3)/27)]= 4x327dx

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  13. (d)/(dx)(sec^(2)x*csc^(2)x)=

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  14. If y=log((1)/(1-x))," then: "(dy)/(dx)-1=

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  15. If y=4^(log2(sinx))+9^(log3(cosx)," then "(log2(log3)y(1)=

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  19. Defferential coefficient of x^(x)w.r.t.x*logx is

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  20. If x=sqrt(y+sqrt(y+sqrt(y+..."to"oo)))," then: "(dy)/(dx)=

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  21. If 3x^(2)+4xy-5y^(2)=0," then: "(dy)/(dx)=

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