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y= tan^(-1)((sqrt(1+x^2)+sqrt(1-x^2))/(s...

`y= tan^(-1)((sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2)))`, where `-1 < x < 1`, find `dy/dx`

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
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  2. If x^2+y^2=R^2(w h e r eR >0)a n dk=(y prime prime)/(sqrt((1+yprime^2)...

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

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

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  7. Find the sum of the series 1+2x+3x^2+....(n-1)x^(n-2) using differenti...

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  8. If f(x) satisfies the relation f((5x-3y)/2)=(5f(x)-3f(y))/2AAx ,y in...

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  9. y=4x^2 + e^(3x) find y'

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  10. Instead of the usual definition of derivative Df(x), if we define a n...

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  11. Simplify y=tan^(-1)(x/(1+sqrt(1-x^2)))

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  12. If y=|cosx|+|sinx|,then(dy/dx)"at"x=(2pi)/3 is

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  14. If g is the inverse function of fa n df^(prime)(x)=sinx ,t h e ng^(pr...

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  15. Find (dy)/(dx) for the function: y= sin x + ln x

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  16. If x=varphi(t), y=psi(t),t h e n(d^2 y)/(dx^2) is (a)(varphi^(prime)ps...

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  17. If y=(1+x)(1+x^2)(1+x^4)...(1+x^(2^n)), then find (dy)/(dx)a tx=0.

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  18. f(x)=e^x-e^(-x) then find f'(x)

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  19. Find (dy)/(dx) for the function: y=sqrt(sinsqrt(x))

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  20. If y=(sqrt(a+x)-sqrt(a-x))/(sqrt(a+x)+sqrt(a-x)),then (dy)/(dx)is eq...

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