Question

Find the derivative of f(x)=secx/sqrt(2tanx)

Answer 1

\[f(x)=\frac{\sec(x)}{\sqrt{2\tan(x)}}\]

Answer 2

yess that's the equation

Answer 3

good lord your math teacher must hate you
i cannot see a simple way to do this
you are going to have to use the quotient rule and a raft of algebra

Answer 4

ahhahha well, the answer is supposed to be \[-\sqrt{2}secx/2\tan ^{2}x\]

Answer 5

\[\left(\frac{f}{g}\right)'=\frac{gf'-fg'}{g^2}\] with \[f(x)=\sec(x), f'(x)=\sec(x)\tan(x)\]
\[g(x)=\sqrt{2\tan(x)},g'(x)=\frac{\sec^2(x)}{\sqrt{2\tan(x)}}\]

Answer 6

maybe the algebra will work, who knows?

Answer 7

I tried it like that previously and my answer is still off

Answer 8

i can't do it
wolfram gives a different answer but probably uses some trig identity

Answer 9

ohh okkk thanks anyway! :)