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Let f(x)=x-1/2 log (x^(2)+1). Then f' (...

Let `f(x)=x-1/2 log (x^(2)+1)`. Then f' (x) is :

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VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS 2-Level -1
  1. The function x-(log(1+x)/x)(x>0) is increasing in:

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  2. Let f(x) =cos (cos x). Then which one is not correct?

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  3. Let f(x)=x-1/2 log (x^(2)+1). Then f' (x) is :

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  4. The function f(x)=(x^(4)-42x^(2)-80x+32)^(3) is :

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  5. Find the intervals in which f(x)=2\ log\ (x-2)-x^2+4x+1 is increasing ...

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  6. If f(x)=x/(sinx) \ a n d \ g(x)=x/(tanx),w h e r e \ 0ltxlt=1, then in...

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  7. The function f(x)=(log)e(x^3+sqrt(x^6+1)) is of the following types: (...

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  8. The function f(x)=(log)e(x^3+sqrt(x^6+1)) is of the following types: (...

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  9. if f is an increasing function and g is a decreasing function on an in...

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  10. The interval in which the function x^3 increases less rapidly than 6x^...

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  11. If f(x)=xe^(x(1-x)), then f'(x) is

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  12. Show that f(x) =tan^(-1)(sinx+cosx) is an increasing function in (0,pi...

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  13. If tangents are drawn from the origin to the curve y=sin x , th...

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  14. For all x in (0,1), then

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  15. Discuss monotonocityt of y =f(x) which is given by x=(1)/(1+t^(2))and ...

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  16. f (x) =2x -tan ^(-1) x - ln (x+ sqrt(1+ x ^(2)))

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  17. Write the set of values of a for which f(x)=cosx+a^2\ x+b is strictly ...

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  18. Find the value of a in order that f(x)=sqrt(3)sinx-cosx-2a x+b decreas...

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  19. Find the range of values of a if f(x)=2e^x-a e^(-x)+(2a+1)x-3 is monot...

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  20. If f (x)=a ln |x| +bx^(2) +x has extremas at x=1and x=3 then:

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