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If f(x)=logx^(2)(logx), then f(e)...

If `f(x)=log_x^(2)(logx)`, then `f(e)`

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SHARAM PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXAMPLE
  1. If f(x)=|logx| then for x!=1, then what is f'(x)?

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

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  3. If f(x)=logx^(2)(logx), then f(e)

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  4. If y = tan^(-1)[(x/log ex^3)] + tan^(-1)[(5 + 3logx)/(1-15logx)] then ...

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  5. If f(x) = a |sinx| + b.e^(|x|) + c |x|^3 and f(x) is differentiable at...

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  6. What is the value ofthe derivative of f(x)=|x-1|+|x-3| at x=2?

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  7. If f(x+y) = f(x) f(y) for all x,y and if f(5) = 2 and f(0) = 3, then w...

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  8. Write the derivative of e^(3 logx) "w.r.t.x"^(2)

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  9. Differentiate a^(lnx) w.r.t x ^(2).

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  10. If x = int0^y (1/sqrt(1+4t))dt then what is the value of (d^2y)/(dx^...

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  11. If xandy are variables related by the equation x=int0^y(1/(sqrt(1+9u^2...

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  12. What is the derivative of sec^(-1)(1/(2x^2-1)),with respect to(sqrt(1...

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  13. If y=sec^(-1)((x+1)/(x-1))+sin^(-1)((x-1)/(x+1)), then find (dy)/(dx).

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  14. Differentiate sin^(-1)(cosx)"w.r.t.x"

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  15. Differentiate cos^(-1)(sinx) w.r.t.x.

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  16. What is the derivative of sec^(-1)x w.r.t.x, if xlt-1 ?

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  17. What is the derivative of sin^(-1)(3x-4x^(3)) w.r.t sin^(-1)x ?

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  18. What is the derivative of sin^(-1)((2x)/(1+x^2)) w.r.t tan^(-1)((2x)/(...

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  19. Find d/(dx)cot^(-1) tan(pi/2-x).

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  20. If y=sec^(-1)(sqrtx+1)/sqrtx+sin^(-1)fracsqrtx(sqrtx+1)then dy/dx=

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