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

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

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Find (dy)/(dx)"for"y=xsinxlogxdot

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

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

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  5. lf y=sqrt((1-x)/(1+x)) find dy/dxand prove that (1-x^2)(dy)/(dx)+y=0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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