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Differentiate tan^(-1)x/(1+sqrt((1-x^2))...

Differentiate `tan^(-1)x/(1+sqrt((1-x^2)))` `+{2tan^(-1)sqrt(((1-x)/(1+x)))}sinwdotrdottdotxdot`

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. Find (dy)/(dx)ifx=a(theta-sintheta) and y=a(1-costheta)dot

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  2. If f(x)=(log)x(log x),t h e nf^(prime)(x) at x=e is equal to (a) 1/e ...

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  3. Differentiate tan^(-1)x/(1+sqrt((1-x^2))) +{2tan^(-1)sqrt(((1-x)/(1+x...

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  4. If x=asec^3theta and y=atan^3theta, find (dy)/(dx) at theta=pi/3dot

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  5. Differentiate (logx)^(cosx) with respect to xdot

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  6. Find the differential equation of the family of curves y=A e^(2x)+B...

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  7. If f(x)=|x|^(|sinx|), then find f^(prime)(-pi/4)

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  8. If x=cos e ctheta-sintheta and y=cosec^ntheta-sin^ntheta, then show th...

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  9. If y=sqrt(log{sin((x^2)/3-1)}), t h e n find (dy)/(dx)dot

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  10. Find (dy)/(dx) of y= x^3

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  11. Find (dy)/(dx) for y=sin(x^2+1)dot

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  12. Let f(x)=x+1/(2x+1/(2x+1/(2x))) Compute the value of f(5) .

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  13. y=tan^(-1) ((3x-x^3)/(1-3x^2)). Find dy/dx .

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  14. Find y' of y= 5x^5

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  15. y = sin^(-1)(1/sqrt(1+x^2)) + cos^(-1)(1/sqrt(1+x^2)). find dy/dx.

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  16. If x^2+y^2=R^2(w h e r eR >0)a n dk=(y prime prime)/((1+yprime^2)^3...

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  17. y= tan^(-1)((sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))), wher...

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  18. Find the derivative of sec^(-1)(1/(2x^2-1))wdotrdott sqrt(1-x^2) at x=...

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  19. y=tan^(-1)((acosx-bsinx)/(bcosx+asinx)), where -pi/2ltxltpiand a/btanx...

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  20. If f(9)=9,f^(prime)(9)=4,t h e n("lim")(x->9)(sqrtf(x)-3)/(sqrtx-3)= ...

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