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Mathematics 16 Online
OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (koikkara):

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

OpenStudy (aravindg):

Use 2nd derivative test.

OpenStudy (anonymous):

How do i find the variables ?

OpenStudy (aravindg):

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

OpenStudy (anonymous):

|dw:1371009397272:dw|

OpenStudy (anonymous):

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

OpenStudy (anonymous):

just - infinity?

OpenStudy (dan815):

no its at 0

OpenStudy (dan815):

and only 0

OpenStudy (anonymous):

how would i solve for y then?

OpenStudy (anonymous):

just sub o ?

OpenStudy (dan815):

cuz its 2x*e^x2

OpenStudy (dan815):

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

OpenStudy (dan815):

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

OpenStudy (dan815):

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

OpenStudy (dan815):

only imaginary solution

OpenStudy (dan815):

|dw:1371010525019:dw|

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