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Mathematics 22 Online
OpenStudy (anonymous):

y = sec θ tan θ differentiate help?

OpenStudy (anonymous):

that's just sec(theta), since the derivative of sec(x) is sec(x)tan(x)

OpenStudy (raden):

use multiply rule : y=uv y'=u'v+uv'

OpenStudy (anonymous):

whoope, I gave you the integration of secxtanx. Sorry, ignore me...

OpenStudy (raden):

ok, nope :) do u know what the first derivative of sec(x) ?

OpenStudy (anonymous):

the derivative of sec(x) is sec(x)tan(x) the derivative of tan(x) is: \[\sec ^{2}x\]

OpenStudy (raden):

yea, that's right derivative of sec(x) is sec(x)tan(x) and u know that integral is anti derivative, so int(sec(x)tan(x)) dx can be sec(x)

OpenStudy (anonymous):

I thought you were finding the derivative of sec(x)tan(x)?

OpenStudy (raden):

like what i said before, use multiply rule : y=uv => y'=u'v+uv' and u must know that : derivative of sec(x) is sec(x)tan(x) and derivative tan(x) is (sec(x))^2

OpenStudy (anonymous):

The complete answer should be: \[\sec ^{3}x + \tan ^{2}xsecx\] OR \[secx (\sec ^{2}x+\tan ^{2}x)\] If you are finding the derivative.

OpenStudy (raden):

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