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If f(x)=cos^(-1)[(1-(logx)^2)/(1+(logx)^...

If `f(x)=cos^(-1)[(1-(logx)^2)/(1+(logx)^2)]` , then the value of `f'(e)` is equal to........

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BANSAL-LIMITS AND DERIVATIVES-All Questions
  1. If y=cos^(-1)cos(|x|-f(x)) , where f(x)={1,\ \ if\ x >0-1,\ \ if\ x<0\...

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  2. If f(x)=m x^2+n x+p . Then f'(1)+f'(4)-f'(5) is equal to.....

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  3. If f(x)=cos^(-1)[(1-(logx)^2)/(1+(logx)^2)] , then the value of f'(e) ...

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  4. If f(1)=3 , f'(1)=2 , then d/(dx) {logf(e^x+2x)} at x=0 is equal to......

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  5. Differential coefficient of cos^(-1)(sqrt(x)) with respect to sqrt((1-...

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  6. The differential coefficient of tan^(-1)((2x)/(1-x^2)) w.r.t. sin^(-1)...

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  7. Differential coefficient of sin^(-1)x w.r.t. cos^(-1)sqrt(1-x^2) is eq...

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  8. The differential coefficient of tan^(-1)((sqrt(1+x^2)-1)/x) with respe...

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

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

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

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

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

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

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

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

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

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

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

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