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If y=sqrt((1-cos2x)/(1+cos2x),)x in (0,p...

If `y=sqrt((1-cos2x)/(1+cos2x),)x in (0,pi/2)uu(pi/2,pi),` then find `(dy)/(dx)dot`

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. If f(x)=x|x|, then prove that f^(prime)(x)=2|x|

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  2. A function f: R->R satisfies sinxcosy(f(2x+2y)-f(2x-2y)=cosxsiny(f(2x+...

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  3. If y=sqrt((1-cos2x)/(1+cos2x),)x in (0,pi/2)uu(pi/2,pi), then find (dy...

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  4. If x=logp and y=1/p ,then (a)(d^2y)/(dx^2)-2p=0 (b) (d^2y)/(dx^2)+...

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  5. If y=1+x/(1!)+(x^2)/(2!)+(x^3)/(3!)++(x^n)/(n !), show that (dy)/(dx)...

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  6. Let y=1n(1+cosx)^2. Then the value of (d^2y)/(dx^2)+2/(e^(y/2)) equal

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  7. Find (dy)/(dx)"for"y=xsinxlogxdot

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  8. If the function f(x)=-4e^((1-x)/2)+1+x+(x^2)/2+(x^3)/3a n dg(x)=f^(-1)...

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  9. Differentiate y=(e^x)/(1+sinx)

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  10. Suppose that f(0)=0a n df^(prime)(0)=2, and let g(x)=f(-x+f(f(x)))dot ...

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  11. If y=sqrt((1-x)/(1+x)), prove that (1-x^2)dy/(dx)+y=0

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

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  13. If f(x)=cosxdotcos2xdotcos4xdotcos8xdotcos16 x , then find f^(prime)(p...

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

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

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

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

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

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  20. If cosx/2dotcosx/(2^2)dotcosx/(2^3)oo=(sinx)/x , then find the value o...

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