## burhan101 2 years ago Identify the coordinates of any local extreme values of the function f(x) and classify each as either a local maximum or minimum.

1. burhan101

\[\huge f(x)= e^{x ^{2}}\]

2. burhan101

\[f(x)= (2x)ex^2\]

3. Koikkara

@AravindG @amistre64 ....might help u better than i do....

4. AravindG

Use 2nd derivative test.

5. burhan101

How do i find the variables ?

6. AravindG

first equate f'(x) to 0 .Then find the critical points

7. burhan101

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8. burhan101

How i can rearrange in such a way that i can find the CP

9. burhan101

just - infinity?

10. dan815

no its at 0

11. dan815

and only 0

12. burhan101

how would i solve for y then?

13. burhan101

just sub o ?

14. dan815

cuz its 2x*e^x2

15. dan815

u know itll be 0 when the term u multiply by = 0

16. dan815

now u just need to check when e^x^2 will be zero, and see if that works too but it doesnt

17. dan815

because e^x^2 cannot have a negative exponent, and e^-inf = 0 so its not possible to have a - inf

18. dan815

only imaginary solution

19. dan815

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