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If y=cos^(-1)sqrt((sqrt(1+x^2+1))/(2sqr...

If `y=cos^(-1)sqrt((sqrt(1+x^2+1))/(2sqrt(1+x^2))),t h e n(dy)/(dx)i se q u a lto` `1/(2(1+x^2)),x in R` (b) `1/(2(1+x^2)),x >0` `(-1)/(2(1+x^2)),x<0` (d) `1/(2(1+x^2)),x<0`

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If y=cos^(-1)sqrt((sqrt(1+x^2)+1)/(2sqrt(1+x^2))),t h e n(dy)/(dx) is equal to (a) 1/(2(1+x^2)),x in R (b) 1/(2(1+x^2)),x >0 (c) (-1)/(2(1+x^2)),x<0 (d) 1/(2(1+x^2)),x<0

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
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  12. If int0^a(dx)/(sqrt(x+a)+sqrt(x))=int0^(pi/8)(2tantheta)/(sin2theta)dt...

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  14. Evaluate int(0)^(pi//2)(cosx)/((1+sinx)(2+sinx))dx.

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  15. If Sn=1/(2n)+1/(sqrt(4n^2-1))+1/(sqrt(4n^2-4))++1/(sqrt(3n^2+2n-1)),n ...

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  16. The function f satisfies the functional equation 3f(x)+2f((x+59)/(x1))...

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  18. Find the equation of tangent to y=int(x^(2))^(x^(3))(dt)/(sqrt(1+t^(2)...

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  19. Let f be differentiable for all x , If f(1)=-2a n df^(prime)(x)geq2 fo...

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