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Mathematics 36 Online
OpenStudy (anonymous):

Hi all! checking my answer q:"Differentiate y=e^-2t *cos4t" I got:(-2e^-2t)(cos4t)+(-sin4t)(e^-2t)

OpenStudy (anonymous):

i get [cos(4t)-4tsin(4t) ] / e^2

OpenStudy (anonymous):

or i guess it can be written as (e^-2)cos(4t)-4tsin(4t)(e^-2)

OpenStudy (anonymous):

hmm

OpenStudy (anonymous):

here's what I got: f(x):e^-2t g(x):cos4t g'(x):-sin4t for f'(x) I split the function into g(x):-2t and f(u):e^x which means g'(x)=(-2)(e^-2t) so y': (-2e^-2t)(cos4t)+(-sin4t)(e^-2t)

OpenStudy (anonymous):

oops the derivative of cos4t is -4sin(4t)

OpenStudy (anonymous):

so, y': (-2e^-2t)(cos4t)+(-4sin4t)(e^-2t)

OpenStudy (anonymous):

Well, I guess that's right

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