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if f(x)=x^x,x in (1,infty) and g(x) be i...

if `f(x)=x^x,x in (1,infty)` and `g(x)` be inverse function of `f(x)` then `g^(')(x)` must be equal to

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If the graph of non-constant function is symmetric about the point (3,...

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  2. The expansion of (sqrt(x)+(1)/(2 root(4)(x)))^(n) is arranged in decr...

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  3. if f(x)=x^x,x in (1,infty) and g(x) be inverse function of f(x) then g...

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  4. The value of ( .^7C0 + ^7C1)+( .^7C1+ ^7C2)+....+(.^7C6+ ^7C7) is (A...

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  5. If sin x + sin y =1/2 and cos x + cos y = 1 then tan (x + y)

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  6. If the mean and variance of a binomial variate X are 7/3a n d(14)/9 re...

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  7. If the value of x satisfying the equation sin^(-1)sqrt(1-x^2)=tan^...

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  8. If the system of linear equations {:(x+2ay+az=0),(x+3by+bz=0),(x+4cy...

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  9. For the equation 40/[x-1]-160/[x-4]-200/[x-5]+320/[x-8]=6x^2-27x (A)...

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  10. Two cards are drawn one after another from a pack of 52 ordinary cards...

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  11. If G is the centroid and O is the circumcentre of the triangle with ve...

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  12. Given f(x) = 1/( (x^2 + 2x+1)^(1/3) + (x^2 -1)^(1/3) + (x^2 - 2x + 1)...

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  13. The minimum value of the function f(x)=x^(10)+x^2+1/(x^(12))+1/((1+s...

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  14. Sum of the solution of the equation [x^2]-2x+1=0 is (where [.] denot...

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  15. ABC has integral side lengths. Internal angle bisector of angle B m...

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  16. Find the underset(k=1)overset(oo)sumunderset(n=1)overset(oo)sumk/(2^(n...

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  17. 2n(A-B)=n(A-B) and 5n(AnnB)=n(A)+3n(B) If n(AuuB)lt=10 , then the va...

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  18. If both roots of quadratic equation x^2+(sintheta+costheta)x+3/8=0 are...

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  19. If the inequality k x^2-2x+kgeq0 holds good for atleast one real ' x...

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  20. A circle passes through the points A(1,0) and B(5,0), and touches the ...

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