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Mathematics 21 Online
OpenStudy (anonymous):

Use a pythagorean Trig. Identity to simplify the function, then take derivative of this function. f(x) = 4x^2 tan x.

OpenStudy (anonymous):

@Mertsj can u help?

OpenStudy (mertsj):

Is it: \[4x^2\tan x\]

OpenStudy (anonymous):

yes

OpenStudy (mertsj):

\[\tan x=\sqrt{1-\sec ^2x}\]

OpenStudy (mertsj):

That's using a Pythagorean identity.

OpenStudy (anonymous):

ok

OpenStudy (mertsj):

So you would be taking the derivative of \[4x^2\sqrt{1-\sec ^2x}\]

OpenStudy (anonymous):

okay i'll do that

OpenStudy (mertsj):

ok

OpenStudy (anonymous):

i got 4x(x + sin(2x)) sqrt(tan^2 (x)) csc (x) sec (x)

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