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If y=tan^(-1)((sin x + cos x)/(cos x - s...

If `y=tan^(-1)((sin x + cos x)/(cos x - sin x))`, then `(dy)/(dx)` is equal to

A

44228

B

`pi/4`

C

0

D

1

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The correct Answer is:
D
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HIMALAYA PUBLICATION-COMMON ENTRANCE TEST - 2017-QUESTION BANK
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  4. If y=|(f(x),g(x),h(x)),(1,m,n),(a,b,c)|, then (dy)/(dx) is equal to

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  5. If sin x = (2t)/(1+t^(2)), tan y = (2t)/(1-t^(2)), then (dy)/(dx) is e...

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  6. The derivative of cos^(-1)(2x^(2)-1) w.r.t cos^(-1) x is

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  7. If y = log (log x) then (d^(2)y)/(dx^(2)) is equal to

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  8. int ((x+3)e^(x))/((x+4)^(2)) dx is equal to

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  9. int (cos2x - cos 2theta)/(cosx- costheta)dx is equal to

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  10. int sqrt(x^(2)+ 2x+5) dx is equal to

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  11. int(0)^(pi//2)(tan^(7)x)/(cot^(7)x + tan^(7)x)dx is equal to

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  12. int(-5)^(5)|x+2|dx is equal to

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  13. int-(pi//2)^(pi//2) (dx)/(e^(sinx)+1) is equal to

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  14. int(0)^(pi//2)(1)/(a^(2).sin^(2)x+b^(2).cos^(2)x)dx is equal to

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  15. The area of the region bounded by the curve y = x^(2) and the line y =...

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  16. Area of the region bounded by the curve y = cos x, x = 0 and x = pi is

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  17. The degree of the differential equation [1+((dy)/(dx))^(2)]^(2)=(d^(2)...

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  18. General solution of differential equation (dy)/(dx)+y=1(y ne 1) is

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  19. The integrating factor of the differential equation x.(dy)/(dx)+2y=x^(...

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  20. if vec a= 2 hat i+ lambda hat j+ hat k and vec b= hat i+ 2 hat j+ 3 h...

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