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Find the points of local extrema (if any...

Find the points of local extrema (if any) and local extrema of the following functions each of whose domain is shown against the function.
`f(x) = x^(2) e^(3x)AA x in R`

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The correct Answer is:
Point of local minimum x = 0, local minimum = 0
Point of local maximum `x = -(2)/(3)`, local maximum `= (4)/(9e^(2))`
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AAKASH SERIES-MAXIMA AND MINIMA -Exercise - 8.2 (Long Answer Questions)
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  2. Find the points of local extrema (if any) and local extrema of the fol...

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  3. Find the points of local extrema (if any) and local extrema of the fol...

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  4. Find the points of local extrema (if any) and local extrema of the fol...

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  5. Prove that the following functions do not have absolute maximum and ab...

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  6. Prove that the functions do not have maxima or minima: f(x) = e^(x)

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  7. Prove that the logarithmic function is increasing on (0, oo).

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  8. Find the maximum profit that a company can make, if the profit functio...

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

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

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

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  12. Find the absolute maximum value and absolute minimum value of the foll...

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

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  14. Find the absolute maximum value and absolute minimum value of the foll...

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  15. Find local maximum or local minimum of f(x) = -sin 2x - x defined o [-...

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

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  17. Find the absoloute extremum of f(x) = 4x - (x^(2))/(2) on [-2, (9)/(2)...

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

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  19. The profit function P (x) of a company selling x items is given by P(x...

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

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