anonymous
  • anonymous
Use a pythagorean Trig. Identity to simplify the function, then take derivative of this function. f(x) = 4x^2 tan x.
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
@Mertsj can u help?
Mertsj
  • Mertsj
Is it: \[4x^2\tan x\]
anonymous
  • anonymous
yes

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Mertsj
  • Mertsj
\[\tan x=\sqrt{1-\sec ^2x}\]
Mertsj
  • Mertsj
That's using a Pythagorean identity.
anonymous
  • anonymous
ok
Mertsj
  • Mertsj
So you would be taking the derivative of \[4x^2\sqrt{1-\sec ^2x}\]
anonymous
  • anonymous
okay i'll do that
Mertsj
  • Mertsj
ok
anonymous
  • anonymous
i got 4x(x + sin(2x)) sqrt(tan^2 (x)) csc (x) sec (x)

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