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Write necessary condition for a point...

Write necessary condition for a point `x=c` to be an extreme point of the function `f(x)` .

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RD SHARMA ENGLISH-MAXIMA AND MINIMA-All Questions
  1. The space s described in time t by a particle moving in a straight ...

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  2. A particle is moving in a straight line such that its distance s at an...

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  3. Write necessary condition for a point x=c to be an extreme point ...

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  4. Write sufficient conditions for a point x=c to be a point of local ...

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  5. If f(x) attains a local minimum at x=c , then write the values of ...

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  6. Write the minimum value of f(x)=x+1/x ,\ \ x >0

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  7. Write the maximum value of f(x)=x+1/x ,\ \ x<0 .

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  8. Write the point where f(x)=x\ (log)e x attains minimum value.

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  9. Find the least value of f(x)=a x+b/x , where a >0,\ \ b >0 and x >0...

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  10. Write the minimum value of f(x)=x^x .

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  11. Write the maximum value of f(x)=x^(1//x) .

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  12. Write the maximum value of f(x)=(logx)/x , if it exists.

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  13. The maximum value of x^(1/x),x &gt;0 is (a)e^(1/e) (b) (1/e)^e (c)...

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  14. If a x+b/xgeqc for all positive x where a ,\ b ,\ >0 , then a b<(c^2)/...

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  15. The minimum value of x/((log)e x) is e (b) 1//e (c) 1 (d) none of thes...

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  16. 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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  17. 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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  18. 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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  19. The number which exceeds its square by the greatest possible quanti...

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  20. 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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