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Show that xe^(-x) has maximum value at x...

Show that `xe^(-x)` has maximum value at x = 1

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AAKASH SERIES-MAXIMA & MINIMA-EXERCISE-7.2 (SHORT ANSWER QUESTIONS)
  1. Find the points of local minimum and local maximum of the function. f...

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  2. Find the points of local extrema of the function f(x)=x^3-9x^2-48x+6A...

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  3. Find the points of local extrema for the function f(x) = cos4x defin...

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  4. Find the points of local extrema for the function f(x) = sinx on [0...

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  5. Find the absolute maximum value and the absolute minimum value of the ...

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  6. Find the absolute maximum value and the absolute minimum value of the ...

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  7. Find the absolute maximum value and the absolute minimum value of the ...

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  8. Find the absolute maximum value and the absolute minimum value of the ...

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  9. Find local maximum or local minimum of f(x)=-sin2x-x defined on [-pi//...

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  10. Find the absolute maximum and absolute minimum of f(x) = 2x^(3) - 3x^(...

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  11. Find the absolute extreme of f(x)=4x-x^2/2" on "[-2,9/2]

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  12. Find the absolute maximum and absolute minimum of f(x) =8x^(3) + 81x^(...

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  13. For what values of xgt0 the ratio of logx to x is the greatest?

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  14. Show that xe^(-x) has maximum value at x = 1

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  15. Find the positive integers x and y such that x+y=60 " and " xy^(3) is...

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  16. Find two numbers whose sum is 24 and whose product is as large as poss...

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  17. Use the first derivative test to find the local extrema of f(x) =x^(3)...

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  18. Use the first derivative test to find local extrema of f(x) = x^(2) - ...

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  19. Use the second derivative test to find local extrema of the function f...

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  20. Use the second derivative test to find local extrema of the function f...

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