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RD SHARMA-MAXIMA AND MINIMA-Solved Examples And Exercises
- Write necessary condition for a point x=c to be an extreme point ...
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- Write sufficient conditions for a point x=c to be a point of local ...
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- If f(x) attains a local minimum at x=c , then write the values o...
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- Write the minimum value of f(x)=x+1/x ,\ \ x >0
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- Write the maximum value of f(x)=x+1/x ,\ \ x<0 .
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- Write the point where f(x)=x\ (log)e x attains minimum value.
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- Find the least value of f(x)=a x+b/x , where a >0,\ \ b >0 and x >0...
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- Write the minimum value of f(x)=x^x .
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- Write the maximum value of f(x)=x^(1//x) .
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- Write the maximum value of f(x)=(logx)/x , if it exists.
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- 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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