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If y=x^((log x)^(log(log,x)))," then "(d...

If `y=x^((log x)^(log(log,x)))," then "(dy)/(dx) is`

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CENGAGE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Let f, g and h are differentiable functions. If f(0) = 1; g(0) = 2; ...

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  2. If for a continuous function f,f(0)=f(1)=0,f^(prime)(1)=2 and y(x)=f(e...

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  3. If y=x^((log x)^(log(log,x)))," then "(dy)/(dx) is

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  4. d/(dx)[cos^(-1)(xsqrt(x)-sqrt((1-x)(1-x^2)))]= 1/(sqrt(1-x^2))-1/(2s...

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  5. Let g(x)=e^(f(x)) and f(x+1)=x+f(x) AA x in R. If n in I^(+)", then"(g...

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  6. Let g(x) be the inverse of f(x) and f'(x)=1/(1+x^3). Then find g'(x) i...

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  7. If y=cos^(-1)sqrt((sqrt(1+x^2)+1)/(2sqrt(1+x^2))),t h e n(dy)/(dx) i...

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  8. Let f(x) =x[1/x]+x[x] if x!=0 ; 0 if x =0 where[x] denotes the greate...

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  9. Let y=x^(3)-8x+7 and x=f(t)." If "(dy)/(dt)=2 and x=3 at t = 0," then ...

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  10. f is a strictly monotonic differentiable function with f^(prime)(x)=1/...

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  11. Suppose f: R->R^+ be a differentiable function such that 3f(x+y)=f(x)f...

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  12. Vertices of a variable acute angled triangle A B C lies on a fixed cir...

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  13. In a question a student was given to find the derivative of the prod...

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  14. A nonzero polynomial with real coefficient has the property that f(x)=...

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  15. If 'f' is an increasing function from RtoR such that f^(prime)prime(x)...

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  16. If x=(1+t)/(t^(3)),y=(3)/(2t^(2))+(2)/(t) then x((dy)/(dx))^(3)-(dy)/(...

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  17. Let f(x)={2/(1+x^2),xi sr a t ion a l b ,xi sr a t ion a l has exactly...

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  18. If f(x)={sin((a-x)/2)t a n[(pix)/(2a)] for x > a and ([cos((pix)/(2a...

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  19. Let f(x)={((alpha cotx)/x+beta/x^2 ,, 0<|x|lt=1),(1/3 ,, x=0):}. If f...

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  20. Statement 1: Minimum number of points of discontinuity of the functi...

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