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If f(x)=logx(logx) then the value of f'(...

If `f(x)=log_x(logx)` then the value of f'(e) is

A

e

B

`2/e`

C

`1/e`

D

0

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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. If x=at^2, y = 2at , than dy/dx is

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  2. If function defined by : f(x)= {((sin3x)/(2x),,x,ne,0),(k+1,,x,=,0):} ...

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  3. If f(x)=logx(logx) then the value of f'(e) is

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  4. If f(x)=log(x){ln(x)} then f'(x) at x=e, is

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  5. If x=ct, y = c/t, find dy/dx at t = 2

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  6. Let f(x) = {:{(ax+3,xle2),(a^2x-1,x>2):}. Then the value of 'a' for wh...

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  7. Let R be the set of all real numbers. Let f: R rarr R be a function s...

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  8. Let f(x) = x^2 + bx + 7. If f'(5) = 2f'(7/2), then the value of 'b' is

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  9. The funtion f(x) = {:{(2x^2-1, if 1 le x le 4),(151-30x, if 4 < x le 5...

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  10. Let f(x) be a differentiable function and f'(4) = 5, then: underset(xr...

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  11. Determine if f defined by : f(x)={(x^2sin(1/x),,,, if x ne0),(0,,,, if...

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  12. If y=(1+x)(1+x^2)(1+x^4), then dy/dx at x = 1 is

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  13. The value of d/dx{tan^-1(cosx)} for x= 30 is equal to

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  14. If f(x) = {:{((x^2-(a+2)x+a)/(x-2), x ne2),(2,x=2):} is continuous at ...

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  15. Let g(x) = ((x-1)^3)/(log(x-1)) Find g(5).

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  16. Let y be an implict function of x defined by x^(2x) - 2x^x cot y -1 =0...

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  17. Let f: (-1,1) rarr R be a differentiable function with f(0) = -1 and ...

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  18. If 'f' is differentiable at x = a, find (underset(xrarra)lim(x^2f(a)-a...

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  19. If f: R rarr R is a function defined by: f(x) = [x] cos((2x-1)/2)pi, ...

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  20. Let f(x)={x^2|(cos)pi/x|, x!=0 and 0,x=0,x in RR, then f is a. differ...

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