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If u=tan^(-1){(sqrt(1+x^2)-1)/x} and v=2...

If `u=tan^(-1){(sqrt(1+x^2)-1)/x}` and `v=2tan^(-1)x` , then `(d u)/(d v)` is equal to......

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BANSAL-LIMITS AND DERIVATIVES-All Questions
  1. The differential coefficient of tan^(-1)((sqrt(1+x^2)-1)/x) with respe...

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  2. Differential coefficient of tan^(-1)sqrt((1-x^2)/(1+x^2)) w.r.t. cos^(...

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  3. If u=tan^(-1){(sqrt(1+x^2)-1)/x} and v=2tan^(-1)x , then (d u)/(d v) i...

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  4. The derivative of sin^(-1)((2x)/(1+x^2)) w.r.t. cos^(-1)((1-x^2)/(1+x^...

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  5. The derivative of sin^2x with respect to cos^2x is equal to....

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  6. The derivative of cos^(-1)((1-x^2)/(1+x^2)) w.r.t. cot^(-1)((1-3x^2)/(...

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  7. If y=(a^(cos^(-1)x))/(1+a^(cos^(-1)x)) and z=a^(cos^(-1)x), then (dy)/...

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  8. The second order derivative of a sin^3 t w.r.t, a cos^3 t at t = pi/4...

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  9. If y=sin((log)e x) , then x^2\ (d^2y)/(dx^2)+x(dy)/(dx) is equal to......

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  10. (d^(20))/(dx^(20))(2cosxcos3x) is equal to........

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  11. If y=x^3(log)e(1+x) , then y'(0) is equal to.......

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  12. If y=(x+sqrt(1+x^2))^n then (1+x^2)(d^2y)/(dx^2)+x(dy)/(dx)

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  13. f(x) and g(x) are two differentiable functions in [0,2] such that f"(...

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  14. If y=cos(sinx^2) then at x=sqrt(pi/2), (dy)/(dx)=

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  15. If f(x)=xtan^(-1)x, then f'(1) is equal to

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  16. If f(x)=(log)x(logx) , then f'(x) at x=e is equal to......

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  17. If y=(log)(sinx)(tanx) , then (((dy)/(dx)))(pi//4) is equal to.......

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  18. If x^my^n = (x + y)^(m+n), then (dy/dx)(x=1, y=2) is equal to

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  19. Let f, g and h are differentiable functions. If f(0) = 1; g(0) = 2; ...

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  20. Find the derivative with respect to x of ((log)(cosx)sinx)((log)(sinx)...

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