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What do you mean by an extremum of a sin...

What do you mean by an extremum of a single - valued function State the condition for which f(x) possesses an extremum at x = c . Under what codition the extremum is a
(i) maximum , (ii) minimum ?

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CHHAYA PUBLICATION-MAXIMA AND MINIMA -EXERCISE Very Short Answer Type Questions
  1. State the conditions for maxima and minima of a function y=f(x) at a p...

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  2. Using calculus find the values of x , for which , 4+2x-x^(2) is ...

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  3. Using calculus find the values of x , for which , (3x^(2)-5x+4) i...

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  4. Using calculus find the values of x , for which , x(12-2x)^(2) is...

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  5. Using calculus find the values of x , for which , sin x is a maxim...

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  6. Using calculus find : the maximum value of (1-x)(2+3x)

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  7. Using calculus find the minimum value of 2x^(2)-4x+10

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  8. Using calculus find the maximum value of cos x

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  9. Show that , the following functions have neither a maximum nor a mini...

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  10. Show that , the following functions have neither a maximum nor a mini...

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  11. Show that , the following functions have neither a maximum nor a mini...

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  12. Show that , the following functions have neither a maximum nor a mini...

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  13. Show that , the following functions have neither a maximum nor a mini...

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  14. Show that , the following functions have neither a maximum nor a mini...

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  15. Show that , the maximum value of the function x+(1)/(x) is less than i...

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  16. Show that , f(x)=x^(2)+(250)/(x) has a minimum value at x=5.

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  17. What do you mean by an extremum of a single - valued function State th...

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  18. Find the maximum value of the product of the two numbers , if their su...

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  19. If xgt0,ygt0andxy=25, find the minimum value of x+y.

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  20. If x+y=15, show that x^(2)+y^(2) is least , when x=y=(15)/(2).

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