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Mathematics 14 Online
OpenStudy (anonymous):

e^-x sinx 0

OpenStudy (anonymous):

\[y = e^{-x} \sin x \] right? if so...I got\[\frac{dy}{dx} = \frac{\cos x - \sin x}{e^x}\]

OpenStudy (anonymous):

sometimes I use the chain rule incorrectly, this is one of those times ok so now what?

OpenStudy (anonymous):

find the critical points by setting y' = 0 and solving for x

OpenStudy (anonymous):

how come the derivative of sin(x) is not equal to cos(x)?

OpenStudy (anonymous):

so cosx - sinx = 0 ?

OpenStudy (anonymous):

it is! in this problem you must use the product rule

OpenStudy (anonymous):

cos x = sin x what value of x makes the statement true?

OpenStudy (anonymous):

ahhh ok product rule um -1 ?

OpenStudy (anonymous):

Pi/4! cos pi/4 = sin pi/4

OpenStudy (anonymous):

how do you get Pi/4?

OpenStudy (kainui):

|dw:1354479386799:dw|

OpenStudy (anonymous):

ahhhhh

OpenStudy (kainui):

=D

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