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If f(x) = cosx. cos2x. Cos4x. Cos8x.cos1...

If f(x) = cosx. cos2x. Cos4x. Cos8x.cos16x, then f '(pi/4) is :

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  2. If g(x)=(f(x))/((x-a)(x-b)(x-c)),where f(x) is a polynomial of degree ...

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  3. If f(x) = cosx. cos2x. Cos4x. Cos8x.cos16x, then f '(pi/4) is :

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  4. f(x)=e^(-1/x),w h e r ex >0, Let for each positive integer n ,Pn be th...

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  5. If ai, bi in N for i 1,2,3, then coefficient of x in the determinant;|...

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  6. If d/(dx)[(x^m-A1x^(m-1)+A2x^(m-2)-.......+(-1)^m Am)e^x]=x^m e^x , f...

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  7. If y=|[sinx,cosx,sinx],[cosx,-sinx,cosx],[x,1, 1]| find (dy)/(dx)dot

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  8. Let f(x)a n dg(x) be two function having finite nonzero third-order de...

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  9. Differentiate log sinx w.r.t. sqrt(cosx).

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  10. If cosx/2dotcosx/(2^2)dotcosx/(2^3)...oo=(sinx)/x , then find the valu...

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  11. Differentiate tan ^(-1)(sqrt(1+x^2 )-1)/x w,r,t. tan ^(-1)x

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  12. If 0ltx<1, then="" prove="" that="" (1-2x)="" (1-x="x^2)+(2x-4x^3)/(1-...

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  13. Find the derivative of f(tan x) w.r.t. g (sec x) at x=(pi)/(4), where ...

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  14. If f(x)=cos^(-1)(1/sqrt(13)(2cosx-3sinx)) +sin^(-1)(1/sqrt(13)(2cosx+...

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  15. Find the derivative of tan^-1((2x)/(1-x^2)) w.r.t. sin^-1((2x)/(1+x^2)...

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  16. If |a1sinx+a2sin2x++ansinn x|lt=|sinx| for x in R , then prove that |...

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  17. Find the derivative of sec^(-1)(1/(2x^2-1)) w.r.t sqrt(1-x^2) at x=1/...

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  18. If y=(1/2)^(n-1)cos(ncos^(-1)x), then prove that y satisfies the diffe...

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  19. If y=f(x^3),z=g(x^5),f^(prime)(x)=tanx ,a n dg^(prime)(x)=secx , then ...

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  20. If x in (0,pi/2), then show that cos^(-1)(7/2(1+cos2x)+sqrt((sin^2x-48...

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