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RD SHARMA-MAXIMA AND MINIMA-Solved Examples And Exercises
- The maximum value of x^(1/x),x >0 is (a)e^(1/e) (b) (1/e)^e (c)...
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- If a x+b/xgeqc for all positive x where a ,\ b ,\ >0 , then a b<(c^2)/...
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- The minimum value of x/((log)e x) is e (b) 1//e (c) 1 (d) none of thes...
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- For the function f(x)=x+1/x x=1 is a point of maximum (b) x=-1 is a p...
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- Let f(x)=x^3+3x^2-9x+2 . Then, f(x) has a maximum at x=1 (b) a minimum...
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- The minimum value of f(x)=x^4-x^2-2x+6 is (a) 6 (b) 4 (c) 8 (d) none o...
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- The number which exceeds its square by the greatest possible quanti...
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- Let f(x)=(x-a)^2+(x-b)^2+(x-c)^2 . Then, f(x) has a minimum at x= (a+...
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- The sum of two non-zero numbers is 8, the minimum value of the sum ...
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- The function f(x)=sum(r=1)^5(x-r)^2 assuming minimum value at x= ...
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- At x=(5pi)/6,\ \ f(x)=2sin3x+3cos3x is (a) 0 (b) maximum (c) minimum (...
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- If x lies in the interval [0,\ 1] , then the least value of x^2+x+1...
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- The least value of the function f(x)=x^3-18 x^2+96 x in the interval [...
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- The maximum value of f(x)=x/(4-x+x^2) on [-1,1] is (a)1/4 (b) -1/3...
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- Find the point on the curve y^2=4x which is nearest to the point (2, 1...
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- If x+y=8 , then the maximum value of x y is (a) 8 (b) 16 (c) 20 (d)...
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- The least and greatest values of f(x)=x^3-6x^2+9x in [0,\ 6] , are ...
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- f(x)=sin+sqrt(3)cosx is maximum when
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- If a cone of maximum volume is inscribed in a given sphere, then th...
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- The minimum value of (x^2+(250)/x) is (a) 75 (b) 50 (c) 25 (d) 55
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