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Mathematics 15 Online
OpenStudy (mony01):

find max and min

OpenStudy (mony01):

\[f(x)=x ^{2}e ^{\frac{ -x }{ 2 }}\] [-1,8]

OpenStudy (raffle_snaffle):

take the first derivative

OpenStudy (shamil98):

with the product rule

OpenStudy (raffle_snaffle):

product with chain rule

OpenStudy (mony01):

how would i take the derivative of e^-x/2

OpenStudy (raffle_snaffle):

chain rule

OpenStudy (mony01):

would it be -x/2e^-x/2

OpenStudy (raffle_snaffle):

not quite

OpenStudy (mony01):

what would it be?

OpenStudy (raffle_snaffle):

Did you learn chain rule?

OpenStudy (mony01):

yes but im confuse because it has an x

OpenStudy (raffle_snaffle):

can you solve this |dw:1386739638266:dw|

OpenStudy (mony01):

not quite

OpenStudy (raffle_snaffle):

Give it a shot=)

OpenStudy (mony01):

2e^x

OpenStudy (raffle_snaffle):

almost. Take the derivative of e^x^2 then multi by the derivative of x^2

OpenStudy (raffle_snaffle):

Derivative of e^x^2 then derivative of the power x^2

OpenStudy (mony01):

2e^2x

OpenStudy (raffle_snaffle):

maybe I stated that in a weird way. Lol it's 2xe^x^2

OpenStudy (raffle_snaffle):

|dw:1386739988713:dw|

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